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Finding the Fourth Proportional to 7,881.84, 11,819.52 and 2,948.94

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Solution

The fourth proportional to 7,881.84, 11,819.52 and 2,948.94 is: 4,422.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.84 : 11,819.52 = 2,948.94 : x
  2. Step 2: Convert to fraction form
    7,881.84/11,819.52 = 2,948.94/x
  3. Step 3: Cross multiply
    7,881.84x = 11,819.52 × 2,948.94
  4. Step 4: Simplify right side
    7,881.84x = 34,855,055.31
  5. Step 5: Solve for x
    x = 34,855,055.31/7,881.84
  6. Step 6: Final answer
    x = 4,422.20

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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.