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Finding the Fourth Proportional to 3,542.19, 5,310.18 and 1,349.46

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Solution

The fourth proportional to 3,542.19, 5,310.18 and 1,349.46 is: 2,023.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.19 : 5,310.18 = 1,349.46 : x
  2. Step 2: Convert to fraction form
    3,542.19/5,310.18 = 1,349.46/x
  3. Step 3: Cross multiply
    3,542.19x = 5,310.18 × 1,349.46
  4. Step 4: Simplify right side
    3,542.19x = 7,165,875.50
  5. Step 5: Solve for x
    x = 7,165,875.50/3,542.19
  6. Step 6: Final answer
    x = 2,023.01

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Why These Related Problems?

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