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Finding the Fourth Proportional to 3,976.93, 5,488.17 and 2,405.02

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Solution

The fourth proportional to 3,976.93, 5,488.17 and 2,405.02 is: 3,318.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.93 : 5,488.17 = 2,405.02 : x
  2. Step 2: Convert to fraction form
    3,976.93/5,488.17 = 2,405.02/x
  3. Step 3: Cross multiply
    3,976.93x = 5,488.17 × 2,405.02
  4. Step 4: Simplify right side
    3,976.93x = 13,199,158.61
  5. Step 5: Solve for x
    x = 13,199,158.61/3,976.93
  6. Step 6: Final answer
    x = 3,318.93

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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.