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Finding the Fourth Proportional to 4,607.20, 6,902.70 and 3,959.20

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Solution

The fourth proportional to 4,607.20, 6,902.70 and 3,959.20 is: 5,931.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,607.20 : 6,902.70 = 3,959.20 : x
  2. Step 2: Convert to fraction form
    4,607.20/6,902.70 = 3,959.20/x
  3. Step 3: Cross multiply
    4,607.20x = 6,902.70 × 3,959.20
  4. Step 4: Simplify right side
    4,607.20x = 27,329,169.84
  5. Step 5: Solve for x
    x = 27,329,169.84/4,607.20
  6. Step 6: Final answer
    x = 5,931.84

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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.