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Finding the Fourth Proportional to 5,702.24, 7,869.30 and 3,150.02

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Solution

The fourth proportional to 5,702.24, 7,869.30 and 3,150.02 is: 4,347.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.24 : 7,869.30 = 3,150.02 : x
  2. Step 2: Convert to fraction form
    5,702.24/7,869.30 = 3,150.02/x
  3. Step 3: Cross multiply
    5,702.24x = 7,869.30 × 3,150.02
  4. Step 4: Simplify right side
    5,702.24x = 24,788,452.39
  5. Step 5: Solve for x
    x = 24,788,452.39/5,702.24
  6. Step 6: Final answer
    x = 4,347.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.