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Finding the Fourth Proportional to 8,539.65, 12,809.00 and 3,277.17

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Solution

The fourth proportional to 8,539.65, 12,809.00 and 3,277.17 is: 4,915.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,539.65 : 12,809.00 = 3,277.17 : x
  2. Step 2: Convert to fraction form
    8,539.65/12,809.00 = 3,277.17/x
  3. Step 3: Cross multiply
    8,539.65x = 12,809.00 × 3,277.17
  4. Step 4: Simplify right side
    8,539.65x = 41,977,254.14
  5. Step 5: Solve for x
    x = 41,977,254.14/8,539.65
  6. Step 6: Final answer
    x = 4,915.57

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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.