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Finding the Fourth Proportional to 3,920.52, 5,405.40 and 2,870.76

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Solution

The fourth proportional to 3,920.52, 5,405.40 and 2,870.76 is: 3,958.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.52 : 5,405.40 = 2,870.76 : x
  2. Step 2: Convert to fraction form
    3,920.52/5,405.40 = 2,870.76/x
  3. Step 3: Cross multiply
    3,920.52x = 5,405.40 × 2,870.76
  4. Step 4: Simplify right side
    3,920.52x = 15,517,606.10
  5. Step 5: Solve for x
    x = 15,517,606.10/3,920.52
  6. Step 6: Final answer
    x = 3,958.05

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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.