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Finding the Fourth Proportional to 4,757.63, 6,565.52 and 2,662.16

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Solution

The fourth proportional to 4,757.63, 6,565.52 and 2,662.16 is: 3,673.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757.63 : 6,565.52 = 2,662.16 : x
  2. Step 2: Convert to fraction form
    4,757.63/6,565.52 = 2,662.16/x
  3. Step 3: Cross multiply
    4,757.63x = 6,565.52 × 2,662.16
  4. Step 4: Simplify right side
    4,757.63x = 17,478,438.55
  5. Step 5: Solve for x
    x = 17,478,438.55/4,757.63
  6. Step 6: Final answer
    x = 3,673.77

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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.