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Finding the Fourth Proportional to 3,061.65, 4,225.48 and 2,978.25

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Solution

The fourth proportional to 3,061.65, 4,225.48 and 2,978.25 is: 4,110.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061.65 : 4,225.48 = 2,978.25 : x
  2. Step 2: Convert to fraction form
    3,061.65/4,225.48 = 2,978.25/x
  3. Step 3: Cross multiply
    3,061.65x = 4,225.48 × 2,978.25
  4. Step 4: Simplify right side
    3,061.65x = 12,584,520.92
  5. Step 5: Solve for x
    x = 12,584,520.92/3,061.65
  6. Step 6: Final answer
    x = 4,110.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.