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Finding the Fourth Proportional to 5,602.65, 8,402.02 and 1,652.86

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Solution

The fourth proportional to 5,602.65, 8,402.02 and 1,652.86 is: 2,478.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,602.65 : 8,402.02 = 1,652.86 : x
  2. Step 2: Convert to fraction form
    5,602.65/8,402.02 = 1,652.86/x
  3. Step 3: Cross multiply
    5,602.65x = 8,402.02 × 1,652.86
  4. Step 4: Simplify right side
    5,602.65x = 13,887,375.35
  5. Step 5: Solve for x
    x = 13,887,375.35/5,602.65
  6. Step 6: Final answer
    x = 2,478.71

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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.