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Finding the Fourth Proportional to 3,242.84, 4,475.72 and 2,584.85

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Solution

The fourth proportional to 3,242.84, 4,475.72 and 2,584.85 is: 3,567.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,242.84 : 4,475.72 = 2,584.85 : x
  2. Step 2: Convert to fraction form
    3,242.84/4,475.72 = 2,584.85/x
  3. Step 3: Cross multiply
    3,242.84x = 4,475.72 × 2,584.85
  4. Step 4: Simplify right side
    3,242.84x = 11,569,048.93
  5. Step 5: Solve for x
    x = 11,569,048.93/3,242.84
  6. Step 6: Final answer
    x = 3,567.57

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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.