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Finding the Fourth Proportional to 5,929.48, 8,881.26 and 2,845

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Solution

The fourth proportional to 5,929.48, 8,881.26 and 2,845 is: 4,261.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,929.48 : 8,881.26 = 2,845 : x
  2. Step 2: Convert to fraction form
    5,929.48/8,881.26 = 2,845/x
  3. Step 3: Cross multiply
    5,929.48x = 8,881.26 × 2,845
  4. Step 4: Simplify right side
    5,929.48x = 25,267,184.70
  5. Step 5: Solve for x
    x = 25,267,184.70/5,929.48
  6. Step 6: Final answer
    x = 4,261.28

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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.