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Finding the Fourth Proportional to 3,754.76, 5,630.04 and 1,561.55

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Solution

The fourth proportional to 3,754.76, 5,630.04 and 1,561.55 is: 2,341.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.76 : 5,630.04 = 1,561.55 : x
  2. Step 2: Convert to fraction form
    3,754.76/5,630.04 = 1,561.55/x
  3. Step 3: Cross multiply
    3,754.76x = 5,630.04 × 1,561.55
  4. Step 4: Simplify right side
    3,754.76x = 8,791,560.81
  5. Step 5: Solve for x
    x = 8,791,560.81/3,754.76
  6. Step 6: Final answer
    x = 2,341.45

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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.