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Finding the Fourth Proportional to 5,482,767.48, 7,566,220.86 and 3,002,145.30

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Solution

The fourth proportional to 5,482,767.48, 7,566,220.86 and 3,002,145.30 is: 4,142,961.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,482,767.48 : 7,566,220.86 = 3,002,145.30 : x
  2. Step 2: Convert to fraction form
    5,482,767.48/7,566,220.86 = 3,002,145.30/x
  3. Step 3: Cross multiply
    5,482,767.48x = 7,566,220.86 × 3,002,145.30
  4. Step 4: Simplify right side
    5,482,767.48x = 22,714,894,393,610.96
  5. Step 5: Solve for x
    x = 22,714,894,393,610.96/5,482,767.48
  6. Step 6: Final answer
    x = 4,142,961.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.