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Finding the Fourth Proportional to 5,062.66, 7,590.84 and 1,776.07

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Solution

The fourth proportional to 5,062.66, 7,590.84 and 1,776.07 is: 2,663.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,062.66 : 7,590.84 = 1,776.07 : x
  2. Step 2: Convert to fraction form
    5,062.66/7,590.84 = 1,776.07/x
  3. Step 3: Cross multiply
    5,062.66x = 7,590.84 × 1,776.07
  4. Step 4: Simplify right side
    5,062.66x = 13,481,863.20
  5. Step 5: Solve for x
    x = 13,481,863.20/5,062.66
  6. Step 6: Final answer
    x = 2,663.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.