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Finding the Fourth Proportional to 4,147.58, 5,715.71 and 2,652.90

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Solution

The fourth proportional to 4,147.58, 5,715.71 and 2,652.90 is: 3,655.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147.58 : 5,715.71 = 2,652.90 : x
  2. Step 2: Convert to fraction form
    4,147.58/5,715.71 = 2,652.90/x
  3. Step 3: Cross multiply
    4,147.58x = 5,715.71 × 2,652.90
  4. Step 4: Simplify right side
    4,147.58x = 15,163,182.31
  5. Step 5: Solve for x
    x = 15,163,182.31/4,147.58
  6. Step 6: Final answer
    x = 3,655.91

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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.