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Finding the Fourth Proportional to 3,748.32, 5,174.64 and 3,126.24

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Solution

The fourth proportional to 3,748.32, 5,174.64 and 3,126.24 is: 4,315.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,748.32 : 5,174.64 = 3,126.24 : x
  2. Step 2: Convert to fraction form
    3,748.32/5,174.64 = 3,126.24/x
  3. Step 3: Cross multiply
    3,748.32x = 5,174.64 × 3,126.24
  4. Step 4: Simplify right side
    3,748.32x = 16,177,166.55
  5. Step 5: Solve for x
    x = 16,177,166.55/3,748.32
  6. Step 6: Final answer
    x = 4,315.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.