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Finding the Fourth Proportional to 8,852.84, 13,275.50 and 3,919

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Solution

The fourth proportional to 8,852.84, 13,275.50 and 3,919 is: 5,876.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,852.84 : 13,275.50 = 3,919 : x
  2. Step 2: Convert to fraction form
    8,852.84/13,275.50 = 3,919/x
  3. Step 3: Cross multiply
    8,852.84x = 13,275.50 × 3,919
  4. Step 4: Simplify right side
    8,852.84x = 52,026,684.50
  5. Step 5: Solve for x
    x = 52,026,684.50/8,852.84
  6. Step 6: Final answer
    x = 5,876.84

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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.