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Finding the Fourth Proportional to 5,928.48, 8,889.12 and 2,465.28

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Solution

The fourth proportional to 5,928.48, 8,889.12 and 2,465.28 is: 3,696.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,928.48 : 8,889.12 = 2,465.28 : x
  2. Step 2: Convert to fraction form
    5,928.48/8,889.12 = 2,465.28/x
  3. Step 3: Cross multiply
    5,928.48x = 8,889.12 × 2,465.28
  4. Step 4: Simplify right side
    5,928.48x = 21,914,169.75
  5. Step 5: Solve for x
    x = 21,914,169.75/5,928.48
  6. Step 6: Final answer
    x = 3,696.42

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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.