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Finding the Fourth Proportional to 6,502.08, 9,755.76 and 3,580.08

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Solution

The fourth proportional to 6,502.08, 9,755.76 and 3,580.08 is: 5,371.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.08 : 9,755.76 = 3,580.08 : x
  2. Step 2: Convert to fraction form
    6,502.08/9,755.76 = 3,580.08/x
  3. Step 3: Cross multiply
    6,502.08x = 9,755.76 × 3,580.08
  4. Step 4: Simplify right side
    6,502.08x = 34,926,401.26
  5. Step 5: Solve for x
    x = 34,926,401.26/6,502.08
  6. Step 6: Final answer
    x = 5,371.57

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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.