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Finding the Fourth Proportional to 4,033.68, 5,565.86 and 2,264.94

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Solution

The fourth proportional to 4,033.68, 5,565.86 and 2,264.94 is: 3,125.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,033.68 : 5,565.86 = 2,264.94 : x
  2. Step 2: Convert to fraction form
    4,033.68/5,565.86 = 2,264.94/x
  3. Step 3: Cross multiply
    4,033.68x = 5,565.86 × 2,264.94
  4. Step 4: Simplify right side
    4,033.68x = 12,606,336.12
  5. Step 5: Solve for x
    x = 12,606,336.12/4,033.68
  6. Step 6: Final answer
    x = 3,125.27

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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.