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Finding the Fourth Proportional to 5,586.18, 7,708.38 and 3,228.18

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Solution

The fourth proportional to 5,586.18, 7,708.38 and 3,228.18 is: 4,454.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,586.18 : 7,708.38 = 3,228.18 : x
  2. Step 2: Convert to fraction form
    5,586.18/7,708.38 = 3,228.18/x
  3. Step 3: Cross multiply
    5,586.18x = 7,708.38 × 3,228.18
  4. Step 4: Simplify right side
    5,586.18x = 24,884,038.15
  5. Step 5: Solve for x
    x = 24,884,038.15/5,586.18
  6. Step 6: Final answer
    x = 4,454.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.