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Finding the Fourth Proportional to 4,665.52, 6,438.41 and 2,569.64

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Solution

The fourth proportional to 4,665.52, 6,438.41 and 2,569.64 is: 3,546.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,665.52 : 6,438.41 = 2,569.64 : x
  2. Step 2: Convert to fraction form
    4,665.52/6,438.41 = 2,569.64/x
  3. Step 3: Cross multiply
    4,665.52x = 6,438.41 × 2,569.64
  4. Step 4: Simplify right side
    4,665.52x = 16,544,403.91
  5. Step 5: Solve for x
    x = 16,544,403.91/4,665.52
  6. Step 6: Final answer
    x = 3,546.10

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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.