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Finding the Fourth Proportional to 5,073.52, 7,610.55 and 1,565.94

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Solution

The fourth proportional to 5,073.52, 7,610.55 and 1,565.94 is: 2,348.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,073.52 : 7,610.55 = 1,565.94 : x
  2. Step 2: Convert to fraction form
    5,073.52/7,610.55 = 1,565.94/x
  3. Step 3: Cross multiply
    5,073.52x = 7,610.55 × 1,565.94
  4. Step 4: Simplify right side
    5,073.52x = 11,917,664.67
  5. Step 5: Solve for x
    x = 11,917,664.67/5,073.52
  6. Step 6: Final answer
    x = 2,348.99

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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.