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Finding the Fourth Proportional to 6,339.87, 8,748 and 3,985.20

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Solution

The fourth proportional to 6,339.87, 8,748 and 3,985.20 is: 5,498.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,339.87 : 8,748 = 3,985.20 : x
  2. Step 2: Convert to fraction form
    6,339.87/8,748 = 3,985.20/x
  3. Step 3: Cross multiply
    6,339.87x = 8,748 × 3,985.20
  4. Step 4: Simplify right side
    6,339.87x = 34,862,529.60
  5. Step 5: Solve for x
    x = 34,862,529.60/6,339.87
  6. Step 6: Final answer
    x = 5,498.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.