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Finding the Fourth Proportional to 3,867.80, 5,802.04 and 1,094.48

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Solution

The fourth proportional to 3,867.80, 5,802.04 and 1,094.48 is: 1,641.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.80 : 5,802.04 = 1,094.48 : x
  2. Step 2: Convert to fraction form
    3,867.80/5,802.04 = 1,094.48/x
  3. Step 3: Cross multiply
    3,867.80x = 5,802.04 × 1,094.48
  4. Step 4: Simplify right side
    3,867.80x = 6,350,216.74
  5. Step 5: Solve for x
    x = 6,350,216.74/3,867.80
  6. Step 6: Final answer
    x = 1,641.82

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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.