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Finding the Fourth Proportional to 3,494.24, 4,824.52 and 2,317.76

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Solution

The fourth proportional to 3,494.24, 4,824.52 and 2,317.76 is: 3,200.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.24 : 4,824.52 = 2,317.76 : x
  2. Step 2: Convert to fraction form
    3,494.24/4,824.52 = 2,317.76/x
  3. Step 3: Cross multiply
    3,494.24x = 4,824.52 × 2,317.76
  4. Step 4: Simplify right side
    3,494.24x = 11,182,079.48
  5. Step 5: Solve for x
    x = 11,182,079.48/3,494.24
  6. Step 6: Final answer
    x = 3,200.15

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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.