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Finding the Fourth Proportional to 3,155.13, 4,734 and 1,306.62

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Solution

The fourth proportional to 3,155.13, 4,734 and 1,306.62 is: 1,960.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155.13 : 4,734 = 1,306.62 : x
  2. Step 2: Convert to fraction form
    3,155.13/4,734 = 1,306.62/x
  3. Step 3: Cross multiply
    3,155.13x = 4,734 × 1,306.62
  4. Step 4: Simplify right side
    3,155.13x = 6,185,539.08
  5. Step 5: Solve for x
    x = 6,185,539.08/3,155.13
  6. Step 6: Final answer
    x = 1,960.47

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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.