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Finding the Fourth Proportional to 5,251.62, 7,854.18 and 4,670.71

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Solution

The fourth proportional to 5,251.62, 7,854.18 and 4,670.71 is: 6,985.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,251.62 : 7,854.18 = 4,670.71 : x
  2. Step 2: Convert to fraction form
    5,251.62/7,854.18 = 4,670.71/x
  3. Step 3: Cross multiply
    5,251.62x = 7,854.18 × 4,670.71
  4. Step 4: Simplify right side
    5,251.62x = 36,684,597.07
  5. Step 5: Solve for x
    x = 36,684,597.07/5,251.62
  6. Step 6: Final answer
    x = 6,985.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.