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Finding the Fourth Proportional to 3,735.84, 5,151.96 and 2,951.76

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Solution

The fourth proportional to 3,735.84, 5,151.96 and 2,951.76 is: 4,070.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.84 : 5,151.96 = 2,951.76 : x
  2. Step 2: Convert to fraction form
    3,735.84/5,151.96 = 2,951.76/x
  3. Step 3: Cross multiply
    3,735.84x = 5,151.96 × 2,951.76
  4. Step 4: Simplify right side
    3,735.84x = 15,207,349.45
  5. Step 5: Solve for x
    x = 15,207,349.45/3,735.84
  6. Step 6: Final answer
    x = 4,070.66

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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.