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Finding the Fourth Proportional to 5,494.19, 7,585.43 and 4,232.87

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Solution

The fourth proportional to 5,494.19, 7,585.43 and 4,232.87 is: 5,844.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.19 : 7,585.43 = 4,232.87 : x
  2. Step 2: Convert to fraction form
    5,494.19/7,585.43 = 4,232.87/x
  3. Step 3: Cross multiply
    5,494.19x = 7,585.43 × 4,232.87
  4. Step 4: Simplify right side
    5,494.19x = 32,108,139.08
  5. Step 5: Solve for x
    x = 32,108,139.08/5,494.19
  6. Step 6: Final answer
    x = 5,844.02

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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.