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Finding the Fourth Proportional to 5,875.28, 8,821.56 and 2,419.28

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Solution

The fourth proportional to 5,875.28, 8,821.56 and 2,419.28 is: 3,632.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,875.28 : 8,821.56 = 2,419.28 : x
  2. Step 2: Convert to fraction form
    5,875.28/8,821.56 = 2,419.28/x
  3. Step 3: Cross multiply
    5,875.28x = 8,821.56 × 2,419.28
  4. Step 4: Simplify right side
    5,875.28x = 21,341,823.68
  5. Step 5: Solve for x
    x = 21,341,823.68/5,875.28
  6. Step 6: Final answer
    x = 3,632.48

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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.