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Finding the Fourth Proportional to 3,559.94, 5,340.08 and 1,585.23

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Solution

The fourth proportional to 3,559.94, 5,340.08 and 1,585.23 is: 2,377.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,559.94 : 5,340.08 = 1,585.23 : x
  2. Step 2: Convert to fraction form
    3,559.94/5,340.08 = 1,585.23/x
  3. Step 3: Cross multiply
    3,559.94x = 5,340.08 × 1,585.23
  4. Step 4: Simplify right side
    3,559.94x = 8,465,230.04
  5. Step 5: Solve for x
    x = 8,465,230.04/3,559.94
  6. Step 6: Final answer
    x = 2,377.91

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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.