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Finding the Fourth Proportional to 5,762.73, 8,645.36 and 2,065.17

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Solution

The fourth proportional to 5,762.73, 8,645.36 and 2,065.17 is: 3,098.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.73 : 8,645.36 = 2,065.17 : x
  2. Step 2: Convert to fraction form
    5,762.73/8,645.36 = 2,065.17/x
  3. Step 3: Cross multiply
    5,762.73x = 8,645.36 × 2,065.17
  4. Step 4: Simplify right side
    5,762.73x = 17,854,127.79
  5. Step 5: Solve for x
    x = 17,854,127.79/5,762.73
  6. Step 6: Final answer
    x = 3,098.21

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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.