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Finding the Fourth Proportional to 4,781.16, 6,596.10 and 2,919.24

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Solution

The fourth proportional to 4,781.16, 6,596.10 and 2,919.24 is: 4,027.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,781.16 : 6,596.10 = 2,919.24 : x
  2. Step 2: Convert to fraction form
    4,781.16/6,596.10 = 2,919.24/x
  3. Step 3: Cross multiply
    4,781.16x = 6,596.10 × 2,919.24
  4. Step 4: Simplify right side
    4,781.16x = 19,255,598.96
  5. Step 5: Solve for x
    x = 19,255,598.96/4,781.16
  6. Step 6: Final answer
    x = 4,027.39

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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.