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Finding the Fourth Proportional to 4,017.88, 5,534.76 and 3,493

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Solution

The fourth proportional to 4,017.88, 5,534.76 and 3,493 is: 4,811.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,017.88 : 5,534.76 = 3,493 : x
  2. Step 2: Convert to fraction form
    4,017.88/5,534.76 = 3,493/x
  3. Step 3: Cross multiply
    4,017.88x = 5,534.76 × 3,493
  4. Step 4: Simplify right side
    4,017.88x = 19,332,916.68
  5. Step 5: Solve for x
    x = 19,332,916.68/4,017.88
  6. Step 6: Final answer
    x = 4,811.72

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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.