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Finding the Fourth Proportional to 4,691.60, 6,473.44 and 2,701.63

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Solution

The fourth proportional to 4,691.60, 6,473.44 and 2,701.63 is: 3,727.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,691.60 : 6,473.44 = 2,701.63 : x
  2. Step 2: Convert to fraction form
    4,691.60/6,473.44 = 2,701.63/x
  3. Step 3: Cross multiply
    4,691.60x = 6,473.44 × 2,701.63
  4. Step 4: Simplify right side
    4,691.60x = 17,488,839.71
  5. Step 5: Solve for x
    x = 17,488,839.71/4,691.60
  6. Step 6: Final answer
    x = 3,727.69

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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.