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Finding the Fourth Proportional to 3,736.58, 5,601.53 and 1,543.91

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Solution

The fourth proportional to 3,736.58, 5,601.53 and 1,543.91 is: 2,314.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,736.58 : 5,601.53 = 1,543.91 : x
  2. Step 2: Convert to fraction form
    3,736.58/5,601.53 = 1,543.91/x
  3. Step 3: Cross multiply
    3,736.58x = 5,601.53 × 1,543.91
  4. Step 4: Simplify right side
    3,736.58x = 8,648,276.05
  5. Step 5: Solve for x
    x = 8,648,276.05/3,736.58
  6. Step 6: Final answer
    x = 2,314.49

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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.