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Finding the Fourth Proportional to 5,660.40, 8,498.70 and 4,429.20

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Solution

The fourth proportional to 5,660.40, 8,498.70 and 4,429.20 is: 6,650.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,660.40 : 8,498.70 = 4,429.20 : x
  2. Step 2: Convert to fraction form
    5,660.40/8,498.70 = 4,429.20/x
  3. Step 3: Cross multiply
    5,660.40x = 8,498.70 × 4,429.20
  4. Step 4: Simplify right side
    5,660.40x = 37,642,442.04
  5. Step 5: Solve for x
    x = 37,642,442.04/5,660.40
  6. Step 6: Final answer
    x = 6,650.14

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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.