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Finding the Fourth Proportional to 5,602.46, 8,402.66 and 1,652.90

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Solution

The fourth proportional to 5,602.46, 8,402.66 and 1,652.90 is: 2,479.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,602.46 : 8,402.66 = 1,652.90 : x
  2. Step 2: Convert to fraction form
    5,602.46/8,402.66 = 1,652.90/x
  3. Step 3: Cross multiply
    5,602.46x = 8,402.66 × 1,652.90
  4. Step 4: Simplify right side
    5,602.46x = 13,888,756.71
  5. Step 5: Solve for x
    x = 13,888,756.71/5,602.46
  6. Step 6: Final answer
    x = 2,479.05

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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.