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Finding the Fourth Proportional to 3,487.69, 5,228.29 and 2,392.57

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Solution

The fourth proportional to 3,487.69, 5,228.29 and 2,392.57 is: 3,586.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,487.69 : 5,228.29 = 2,392.57 : x
  2. Step 2: Convert to fraction form
    3,487.69/5,228.29 = 2,392.57/x
  3. Step 3: Cross multiply
    3,487.69x = 5,228.29 × 2,392.57
  4. Step 4: Simplify right side
    3,487.69x = 12,509,049.81
  5. Step 5: Solve for x
    x = 12,509,049.81/3,487.69
  6. Step 6: Final answer
    x = 3,586.63

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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.