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Finding the Fourth Proportional to 4,685.60, 6,464.76 and 2,695.44

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Solution

The fourth proportional to 4,685.60, 6,464.76 and 2,695.44 is: 3,718.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,685.60 : 6,464.76 = 2,695.44 : x
  2. Step 2: Convert to fraction form
    4,685.60/6,464.76 = 2,695.44/x
  3. Step 3: Cross multiply
    4,685.60x = 6,464.76 × 2,695.44
  4. Step 4: Simplify right side
    4,685.60x = 17,425,372.69
  5. Step 5: Solve for x
    x = 17,425,372.69/4,685.60
  6. Step 6: Final answer
    x = 3,718.92

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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.