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Finding the Fourth Proportional to 4,263.68, 5,884.18 and 2,585.16

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Solution

The fourth proportional to 4,263.68, 5,884.18 and 2,585.16 is: 3,567.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,263.68 : 5,884.18 = 2,585.16 : x
  2. Step 2: Convert to fraction form
    4,263.68/5,884.18 = 2,585.16/x
  3. Step 3: Cross multiply
    4,263.68x = 5,884.18 × 2,585.16
  4. Step 4: Simplify right side
    4,263.68x = 15,211,540.31
  5. Step 5: Solve for x
    x = 15,211,540.31/4,263.68
  6. Step 6: Final answer
    x = 3,567.70

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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.