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Finding the Fourth Proportional to 5,151.47, 7,109.46 and 2,913.74

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Solution

The fourth proportional to 5,151.47, 7,109.46 and 2,913.74 is: 4,021.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,151.47 : 7,109.46 = 2,913.74 : x
  2. Step 2: Convert to fraction form
    5,151.47/7,109.46 = 2,913.74/x
  3. Step 3: Cross multiply
    5,151.47x = 7,109.46 × 2,913.74
  4. Step 4: Simplify right side
    5,151.47x = 20,715,082.43
  5. Step 5: Solve for x
    x = 20,715,082.43/5,151.47
  6. Step 6: Final answer
    x = 4,021.20

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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.