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Finding the Fourth Proportional to 5,914.64, 8,875.20 and 3,968.48

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Solution

The fourth proportional to 5,914.64, 8,875.20 and 3,968.48 is: 5,954.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,914.64 : 8,875.20 = 3,968.48 : x
  2. Step 2: Convert to fraction form
    5,914.64/8,875.20 = 3,968.48/x
  3. Step 3: Cross multiply
    5,914.64x = 8,875.20 × 3,968.48
  4. Step 4: Simplify right side
    5,914.64x = 35,221,053.70
  5. Step 5: Solve for x
    x = 35,221,053.70/5,914.64
  6. Step 6: Final answer
    x = 5,954.89

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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.