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Finding the Fourth Proportional to 5,362.60, 8,047.50 and 3,416.20

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Solution

The fourth proportional to 5,362.60, 8,047.50 and 3,416.20 is: 5,126.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,362.60 : 8,047.50 = 3,416.20 : x
  2. Step 2: Convert to fraction form
    5,362.60/8,047.50 = 3,416.20/x
  3. Step 3: Cross multiply
    5,362.60x = 8,047.50 × 3,416.20
  4. Step 4: Simplify right side
    5,362.60x = 27,491,869.50
  5. Step 5: Solve for x
    x = 27,491,869.50/5,362.60
  6. Step 6: Final answer
    x = 5,126.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.