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Finding the Fourth Proportional to 3,585.87, 5,378.81 and 1,275.75

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Solution

The fourth proportional to 3,585.87, 5,378.81 and 1,275.75 is: 1,913.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.87 : 5,378.81 = 1,275.75 : x
  2. Step 2: Convert to fraction form
    3,585.87/5,378.81 = 1,275.75/x
  3. Step 3: Cross multiply
    3,585.87x = 5,378.81 × 1,275.75
  4. Step 4: Simplify right side
    3,585.87x = 6,862,010.48
  5. Step 5: Solve for x
    x = 6,862,010.48/3,585.87
  6. Step 6: Final answer
    x = 1,913.63

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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.