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Finding the Fourth Proportional to 4,652.20, 6,978.42 and 1,532.20

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Solution

The fourth proportional to 4,652.20, 6,978.42 and 1,532.20 is: 2,298.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.20 : 6,978.42 = 1,532.20 : x
  2. Step 2: Convert to fraction form
    4,652.20/6,978.42 = 1,532.20/x
  3. Step 3: Cross multiply
    4,652.20x = 6,978.42 × 1,532.20
  4. Step 4: Simplify right side
    4,652.20x = 10,692,335.12
  5. Step 5: Solve for x
    x = 10,692,335.12/4,652.20
  6. Step 6: Final answer
    x = 2,298.34

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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.