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Finding the Fourth Proportional to 4,334.38, 6,496.02 and 2,113.74

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Solution

The fourth proportional to 4,334.38, 6,496.02 and 2,113.74 is: 3,167.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,334.38 : 6,496.02 = 2,113.74 : x
  2. Step 2: Convert to fraction form
    4,334.38/6,496.02 = 2,113.74/x
  3. Step 3: Cross multiply
    4,334.38x = 6,496.02 × 2,113.74
  4. Step 4: Simplify right side
    4,334.38x = 13,730,897.31
  5. Step 5: Solve for x
    x = 13,730,897.31/4,334.38
  6. Step 6: Final answer
    x = 3,167.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.