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Finding the Fourth Proportional to 4,017.95, 5,546.51 and 3,023.47

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Solution

The fourth proportional to 4,017.95, 5,546.51 and 3,023.47 is: 4,173.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,017.95 : 5,546.51 = 3,023.47 : x
  2. Step 2: Convert to fraction form
    4,017.95/5,546.51 = 3,023.47/x
  3. Step 3: Cross multiply
    4,017.95x = 5,546.51 × 3,023.47
  4. Step 4: Simplify right side
    4,017.95x = 16,769,706.59
  5. Step 5: Solve for x
    x = 16,769,706.59/4,017.95
  6. Step 6: Final answer
    x = 4,173.70

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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.