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Finding the Fourth Proportional to 5,586.62, 7,709.72 and 3,068.90

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Solution

The fourth proportional to 5,586.62, 7,709.72 and 3,068.90 is: 4,235.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,586.62 : 7,709.72 = 3,068.90 : x
  2. Step 2: Convert to fraction form
    5,586.62/7,709.72 = 3,068.90/x
  3. Step 3: Cross multiply
    5,586.62x = 7,709.72 × 3,068.90
  4. Step 4: Simplify right side
    5,586.62x = 23,660,385.40
  5. Step 5: Solve for x
    x = 23,660,385.40/5,586.62
  6. Step 6: Final answer
    x = 4,235.19

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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.