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Finding the Fourth Proportional to 3,585.95, 5,373.24 and 2,766.23

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Solution

The fourth proportional to 3,585.95, 5,373.24 and 2,766.23 is: 4,144.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.95 : 5,373.24 = 2,766.23 : x
  2. Step 2: Convert to fraction form
    3,585.95/5,373.24 = 2,766.23/x
  3. Step 3: Cross multiply
    3,585.95x = 5,373.24 × 2,766.23
  4. Step 4: Simplify right side
    3,585.95x = 14,863,590.82
  5. Step 5: Solve for x
    x = 14,863,590.82/3,585.95
  6. Step 6: Final answer
    x = 4,144.96

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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.