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Finding the Fourth Proportional to 3,114.47, 4,292.53 and 2,713.64

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Solution

The fourth proportional to 3,114.47, 4,292.53 and 2,713.64 is: 3,740.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.47 : 4,292.53 = 2,713.64 : x
  2. Step 2: Convert to fraction form
    3,114.47/4,292.53 = 2,713.64/x
  3. Step 3: Cross multiply
    3,114.47x = 4,292.53 × 2,713.64
  4. Step 4: Simplify right side
    3,114.47x = 11,648,352.86
  5. Step 5: Solve for x
    x = 11,648,352.86/3,114.47
  6. Step 6: Final answer
    x = 3,740.07

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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.