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Finding the Fourth Proportional to 5,146.71, 7,714.10 and 2,367.55

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Solution

The fourth proportional to 5,146.71, 7,714.10 and 2,367.55 is: 3,548.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.71 : 7,714.10 = 2,367.55 : x
  2. Step 2: Convert to fraction form
    5,146.71/7,714.10 = 2,367.55/x
  3. Step 3: Cross multiply
    5,146.71x = 7,714.10 × 2,367.55
  4. Step 4: Simplify right side
    5,146.71x = 18,263,499.65
  5. Step 5: Solve for x
    x = 18,263,499.65/5,146.71
  6. Step 6: Final answer
    x = 3,548.58

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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.