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Finding the Fourth Proportional to 4,358.70, 6,542.10 and 3,743.10

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Solution

The fourth proportional to 4,358.70, 6,542.10 and 3,743.10 is: 5,618.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,358.70 : 6,542.10 = 3,743.10 : x
  2. Step 2: Convert to fraction form
    4,358.70/6,542.10 = 3,743.10/x
  3. Step 3: Cross multiply
    4,358.70x = 6,542.10 × 3,743.10
  4. Step 4: Simplify right side
    4,358.70x = 24,487,734.51
  5. Step 5: Solve for x
    x = 24,487,734.51/4,358.70
  6. Step 6: Final answer
    x = 5,618.13

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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.