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Finding the Fourth Proportional to 3,820.92, 5,276.16 and 3,697.08

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Solution

The fourth proportional to 3,820.92, 5,276.16 and 3,697.08 is: 5,105.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.92 : 5,276.16 = 3,697.08 : x
  2. Step 2: Convert to fraction form
    3,820.92/5,276.16 = 3,697.08/x
  3. Step 3: Cross multiply
    3,820.92x = 5,276.16 × 3,697.08
  4. Step 4: Simplify right side
    3,820.92x = 19,506,385.61
  5. Step 5: Solve for x
    x = 19,506,385.61/3,820.92
  6. Step 6: Final answer
    x = 5,105.15

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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.