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Finding the Fourth Proportional to 8,978.65, 13,468.88 and 2,405.50

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Solution

The fourth proportional to 8,978.65, 13,468.88 and 2,405.50 is: 3,608.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,978.65 : 13,468.88 = 2,405.50 : x
  2. Step 2: Convert to fraction form
    8,978.65/13,468.88 = 2,405.50/x
  3. Step 3: Cross multiply
    8,978.65x = 13,468.88 × 2,405.50
  4. Step 4: Simplify right side
    8,978.65x = 32,399,363.18
  5. Step 5: Solve for x
    x = 32,399,363.18/8,978.65
  6. Step 6: Final answer
    x = 3,608.49

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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.