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Finding the Fourth Proportional to 4,881.90, 7,293.18 and 3,112.82

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Solution

The fourth proportional to 4,881.90, 7,293.18 and 3,112.82 is: 4,650.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,881.90 : 7,293.18 = 3,112.82 : x
  2. Step 2: Convert to fraction form
    4,881.90/7,293.18 = 3,112.82/x
  3. Step 3: Cross multiply
    4,881.90x = 7,293.18 × 3,112.82
  4. Step 4: Simplify right side
    4,881.90x = 22,702,320.10
  5. Step 5: Solve for x
    x = 22,702,320.10/4,881.90
  6. Step 6: Final answer
    x = 4,650.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.