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Finding the Fourth Proportional to 5,647.59, 7,847.55 and 5,586.84

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Solution

The fourth proportional to 5,647.59, 7,847.55 and 5,586.84 is: 7,763.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647.59 : 7,847.55 = 5,586.84 : x
  2. Step 2: Convert to fraction form
    5,647.59/7,847.55 = 5,586.84/x
  3. Step 3: Cross multiply
    5,647.59x = 7,847.55 × 5,586.84
  4. Step 4: Simplify right side
    5,647.59x = 43,843,006.24
  5. Step 5: Solve for x
    x = 43,843,006.24/5,647.59
  6. Step 6: Final answer
    x = 7,763.14

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.