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Finding the Fourth Proportional to 3,565.47, 4,920.61 and 2,053.29

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Solution

The fourth proportional to 3,565.47, 4,920.61 and 2,053.29 is: 2,833.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.47 : 4,920.61 = 2,053.29 : x
  2. Step 2: Convert to fraction form
    3,565.47/4,920.61 = 2,053.29/x
  3. Step 3: Cross multiply
    3,565.47x = 4,920.61 × 2,053.29
  4. Step 4: Simplify right side
    3,565.47x = 10,103,416.74
  5. Step 5: Solve for x
    x = 10,103,416.74/3,565.47
  6. Step 6: Final answer
    x = 2,833.69

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