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Finding the Fourth Proportional to 3,400.56, 4,697.28 and 2,663.76

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Solution

The fourth proportional to 3,400.56, 4,697.28 and 2,663.76 is: 3,679.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.56 : 4,697.28 = 2,663.76 : x
  2. Step 2: Convert to fraction form
    3,400.56/4,697.28 = 2,663.76/x
  3. Step 3: Cross multiply
    3,400.56x = 4,697.28 × 2,663.76
  4. Step 4: Simplify right side
    3,400.56x = 12,512,426.57
  5. Step 5: Solve for x
    x = 12,512,426.57/3,400.56
  6. Step 6: Final answer
    x = 3,679.52

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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.