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Finding the Fourth Proportional to 6,232.02, 8,600.17 and 3,437.50

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Solution

The fourth proportional to 6,232.02, 8,600.17 and 3,437.50 is: 4,743.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.02 : 8,600.17 = 3,437.50 : x
  2. Step 2: Convert to fraction form
    6,232.02/8,600.17 = 3,437.50/x
  3. Step 3: Cross multiply
    6,232.02x = 8,600.17 × 3,437.50
  4. Step 4: Simplify right side
    6,232.02x = 29,563,084.38
  5. Step 5: Solve for x
    x = 29,563,084.38/6,232.02
  6. Step 6: Final answer
    x = 4,743.74

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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.