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Finding the Fourth Proportional to 3,438.44, 5,156.88 and 972.69

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Solution

The fourth proportional to 3,438.44, 5,156.88 and 972.69 is: 1,458.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.44 : 5,156.88 = 972.69 : x
  2. Step 2: Convert to fraction form
    3,438.44/5,156.88 = 972.69/x
  3. Step 3: Cross multiply
    3,438.44x = 5,156.88 × 972.69
  4. Step 4: Simplify right side
    3,438.44x = 5,016,045.61
  5. Step 5: Solve for x
    x = 5,016,045.61/3,438.44
  6. Step 6: Final answer
    x = 1,458.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.