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Finding the Fourth Proportional to 5,920.80, 8,881.36 and 2,802.28

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Solution

The fourth proportional to 5,920.80, 8,881.36 and 2,802.28 is: 4,203.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,920.80 : 8,881.36 = 2,802.28 : x
  2. Step 2: Convert to fraction form
    5,920.80/8,881.36 = 2,802.28/x
  3. Step 3: Cross multiply
    5,920.80x = 8,881.36 × 2,802.28
  4. Step 4: Simplify right side
    5,920.80x = 24,888,057.50
  5. Step 5: Solve for x
    x = 24,888,057.50/5,920.80
  6. Step 6: Final answer
    x = 4,203.50

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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.