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Finding the Fourth Proportional to 3,876.76, 5,815.14 and 955.07

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Solution

The fourth proportional to 3,876.76, 5,815.14 and 955.07 is: 1,432.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.76 : 5,815.14 = 955.07 : x
  2. Step 2: Convert to fraction form
    3,876.76/5,815.14 = 955.07/x
  3. Step 3: Cross multiply
    3,876.76x = 5,815.14 × 955.07
  4. Step 4: Simplify right side
    3,876.76x = 5,553,836.68
  5. Step 5: Solve for x
    x = 5,553,836.68/3,876.76
  6. Step 6: Final answer
    x = 1,432.60

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1.5x scale

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.