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Finding the Fourth Proportional to 5,131.57, 7,691.98 and 2,907.63

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Solution

The fourth proportional to 5,131.57, 7,691.98 and 2,907.63 is: 4,358.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,131.57 : 7,691.98 = 2,907.63 : x
  2. Step 2: Convert to fraction form
    5,131.57/7,691.98 = 2,907.63/x
  3. Step 3: Cross multiply
    5,131.57x = 7,691.98 × 2,907.63
  4. Step 4: Simplify right side
    5,131.57x = 22,365,431.81
  5. Step 5: Solve for x
    x = 22,365,431.81/5,131.57
  6. Step 6: Final answer
    x = 4,358.40

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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.