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Finding the Fourth Proportional to 5,641.64, 7,785.90 and 3,252.35

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Solution

The fourth proportional to 5,641.64, 7,785.90 and 3,252.35 is: 4,488.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.64 : 7,785.90 = 3,252.35 : x
  2. Step 2: Convert to fraction form
    5,641.64/7,785.90 = 3,252.35/x
  3. Step 3: Cross multiply
    5,641.64x = 7,785.90 × 3,252.35
  4. Step 4: Simplify right side
    5,641.64x = 25,322,471.87
  5. Step 5: Solve for x
    x = 25,322,471.87/5,641.64
  6. Step 6: Final answer
    x = 4,488.49

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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.