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Finding the Fourth Proportional to 3,464.76, 4,781.30 and 1,892.87

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Solution

The fourth proportional to 3,464.76, 4,781.30 and 1,892.87 is: 2,612.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.76 : 4,781.30 = 1,892.87 : x
  2. Step 2: Convert to fraction form
    3,464.76/4,781.30 = 1,892.87/x
  3. Step 3: Cross multiply
    3,464.76x = 4,781.30 × 1,892.87
  4. Step 4: Simplify right side
    3,464.76x = 9,050,355.42
  5. Step 5: Solve for x
    x = 9,050,355.42/3,464.76
  6. Step 6: Final answer
    x = 2,612.12

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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.