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Finding the Fourth Proportional to 3,948.48, 5,887.76 and 3,680.40

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Solution

The fourth proportional to 3,948.48, 5,887.76 and 3,680.40 is: 5,488.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,948.48 : 5,887.76 = 3,680.40 : x
  2. Step 2: Convert to fraction form
    3,948.48/5,887.76 = 3,680.40/x
  3. Step 3: Cross multiply
    3,948.48x = 5,887.76 × 3,680.40
  4. Step 4: Simplify right side
    3,948.48x = 21,669,311.90
  5. Step 5: Solve for x
    x = 21,669,311.90/3,948.48
  6. Step 6: Final answer
    x = 5,488.01

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.