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Finding the Fourth Proportional to 3,115.89, 4,674.15 and 1,472.00

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Solution

The fourth proportional to 3,115.89, 4,674.15 and 1,472.00 is: 2,208.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115.89 : 4,674.15 = 1,472.00 : x
  2. Step 2: Convert to fraction form
    3,115.89/4,674.15 = 1,472.00/x
  3. Step 3: Cross multiply
    3,115.89x = 4,674.15 × 1,472.00
  4. Step 4: Simplify right side
    3,115.89x = 6,880,325.43
  5. Step 5: Solve for x
    x = 6,880,325.43/3,115.89
  6. Step 6: Final answer
    x = 2,208.14

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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.