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Finding the Fourth Proportional to 5,602.52, 8,402.42 and 1,652.70

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Solution

The fourth proportional to 5,602.52, 8,402.42 and 1,652.70 is: 2,478.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,602.52 : 8,402.42 = 1,652.70 : x
  2. Step 2: Convert to fraction form
    5,602.52/8,402.42 = 1,652.70/x
  3. Step 3: Cross multiply
    5,602.52x = 8,402.42 × 1,652.70
  4. Step 4: Simplify right side
    5,602.52x = 13,886,679.53
  5. Step 5: Solve for x
    x = 13,886,679.53/5,602.52
  6. Step 6: Final answer
    x = 2,478.65

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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.