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Finding the Fourth Proportional to 5,724.32, 8,585.46 and 2,603.59

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Solution

The fourth proportional to 5,724.32, 8,585.46 and 2,603.59 is: 3,904.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724.32 : 8,585.46 = 2,603.59 : x
  2. Step 2: Convert to fraction form
    5,724.32/8,585.46 = 2,603.59/x
  3. Step 3: Cross multiply
    5,724.32x = 8,585.46 × 2,603.59
  4. Step 4: Simplify right side
    5,724.32x = 22,353,004.78
  5. Step 5: Solve for x
    x = 22,353,004.78/5,724.32
  6. Step 6: Final answer
    x = 3,904.92

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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.