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Finding the Fourth Proportional to 3,585.96, 5,378.02 and 1,276.92

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Solution

The fourth proportional to 3,585.96, 5,378.02 and 1,276.92 is: 1,915.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.96 : 5,378.02 = 1,276.92 : x
  2. Step 2: Convert to fraction form
    3,585.96/5,378.02 = 1,276.92/x
  3. Step 3: Cross multiply
    3,585.96x = 5,378.02 × 1,276.92
  4. Step 4: Simplify right side
    3,585.96x = 6,867,301.30
  5. Step 5: Solve for x
    x = 6,867,301.30/3,585.96
  6. Step 6: Final answer
    x = 1,915.05

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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.