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Finding the Fourth Proportional to 3,701.49, 5,553.47 and 2,313.15

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Solution

The fourth proportional to 3,701.49, 5,553.47 and 2,313.15 is: 3,470.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,701.49 : 5,553.47 = 2,313.15 : x
  2. Step 2: Convert to fraction form
    3,701.49/5,553.47 = 2,313.15/x
  3. Step 3: Cross multiply
    3,701.49x = 5,553.47 × 2,313.15
  4. Step 4: Simplify right side
    3,701.49x = 12,846,009.13
  5. Step 5: Solve for x
    x = 12,846,009.13/3,701.49
  6. Step 6: Final answer
    x = 3,470.50

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Why These Related Problems?

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