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Finding the Fourth Proportional to 5,586.02, 7,708.70 and 3,068.20

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Solution

The fourth proportional to 5,586.02, 7,708.70 and 3,068.20 is: 4,234.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,586.02 : 7,708.70 = 3,068.20 : x
  2. Step 2: Convert to fraction form
    5,586.02/7,708.70 = 3,068.20/x
  3. Step 3: Cross multiply
    5,586.02x = 7,708.70 × 3,068.20
  4. Step 4: Simplify right side
    5,586.02x = 23,651,841.95
  5. Step 5: Solve for x
    x = 23,651,841.95/5,586.02
  6. Step 6: Final answer
    x = 4,234.11

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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.