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Finding the Fourth Proportional to 3,736.42, 5,607 and 3,385.74

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Solution

The fourth proportional to 3,736.42, 5,607 and 3,385.74 is: 5,080.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,736.42 : 5,607 = 3,385.74 : x
  2. Step 2: Convert to fraction form
    3,736.42/5,607 = 3,385.74/x
  3. Step 3: Cross multiply
    3,736.42x = 5,607 × 3,385.74
  4. Step 4: Simplify right side
    3,736.42x = 18,983,844.18
  5. Step 5: Solve for x
    x = 18,983,844.18/3,736.42
  6. Step 6: Final answer
    x = 5,080.76

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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.