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Finding the Fourth Proportional to 6,586.45, 9,882.60 and 3,465.70

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Solution

The fourth proportional to 6,586.45, 9,882.60 and 3,465.70 is: 5,200.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.45 : 9,882.60 = 3,465.70 : x
  2. Step 2: Convert to fraction form
    6,586.45/9,882.60 = 3,465.70/x
  3. Step 3: Cross multiply
    6,586.45x = 9,882.60 × 3,465.70
  4. Step 4: Simplify right side
    6,586.45x = 34,250,126.82
  5. Step 5: Solve for x
    x = 34,250,126.82/6,586.45
  6. Step 6: Final answer
    x = 5,200.09

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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.