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Finding the Fourth Proportional to 3,502.79, 5,254.30 and 1,311.10

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Solution

The fourth proportional to 3,502.79, 5,254.30 and 1,311.10 is: 1,966.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.79 : 5,254.30 = 1,311.10 : x
  2. Step 2: Convert to fraction form
    3,502.79/5,254.30 = 1,311.10/x
  3. Step 3: Cross multiply
    3,502.79x = 5,254.30 × 1,311.10
  4. Step 4: Simplify right side
    3,502.79x = 6,888,906.17
  5. Step 5: Solve for x
    x = 6,888,906.17/3,502.79
  6. Step 6: Final answer
    x = 1,966.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.