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Finding the Fourth Proportional to 3,433.76, 5,147.88 and 3,160.36

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Solution

The fourth proportional to 3,433.76, 5,147.88 and 3,160.36 is: 4,738.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433.76 : 5,147.88 = 3,160.36 : x
  2. Step 2: Convert to fraction form
    3,433.76/5,147.88 = 3,160.36/x
  3. Step 3: Cross multiply
    3,433.76x = 5,147.88 × 3,160.36
  4. Step 4: Simplify right side
    3,433.76x = 16,269,154.04
  5. Step 5: Solve for x
    x = 16,269,154.04/3,433.76
  6. Step 6: Final answer
    x = 4,738.00

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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.