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Finding the Fourth Proportional to 3,354.70, 5,032.02 and 1,014.70

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Solution

The fourth proportional to 3,354.70, 5,032.02 and 1,014.70 is: 1,522.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,354.70 : 5,032.02 = 1,014.70 : x
  2. Step 2: Convert to fraction form
    3,354.70/5,032.02 = 1,014.70/x
  3. Step 3: Cross multiply
    3,354.70x = 5,032.02 × 1,014.70
  4. Step 4: Simplify right side
    3,354.70x = 5,105,990.69
  5. Step 5: Solve for x
    x = 5,105,990.69/3,354.70
  6. Step 6: Final answer
    x = 1,522.04

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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.