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Finding the Fourth Proportional to 3,753.04, 5,630 and 1,561.48

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Solution

The fourth proportional to 3,753.04, 5,630 and 1,561.48 is: 2,342.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.04 : 5,630 = 1,561.48 : x
  2. Step 2: Convert to fraction form
    3,753.04/5,630 = 1,561.48/x
  3. Step 3: Cross multiply
    3,753.04x = 5,630 × 1,561.48
  4. Step 4: Simplify right side
    3,753.04x = 8,791,132.40
  5. Step 5: Solve for x
    x = 8,791,132.40/3,753.04
  6. Step 6: Final answer
    x = 2,342.40

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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.