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Finding the Fourth Proportional to 3,736.53, 5,602.77 and 1,543.86

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Solution

The fourth proportional to 3,736.53, 5,602.77 and 1,543.86 is: 2,314.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,736.53 : 5,602.77 = 1,543.86 : x
  2. Step 2: Convert to fraction form
    3,736.53/5,602.77 = 1,543.86/x
  3. Step 3: Cross multiply
    3,736.53x = 5,602.77 × 1,543.86
  4. Step 4: Simplify right side
    3,736.53x = 8,649,892.49
  5. Step 5: Solve for x
    x = 8,649,892.49/3,736.53
  6. Step 6: Final answer
    x = 2,314.95

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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.