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Finding the Fourth Proportional to 3,815.52, 5,258.52 and 2,765.76

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Solution

The fourth proportional to 3,815.52, 5,258.52 and 2,765.76 is: 3,811.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,815.52 : 5,258.52 = 2,765.76 : x
  2. Step 2: Convert to fraction form
    3,815.52/5,258.52 = 2,765.76/x
  3. Step 3: Cross multiply
    3,815.52x = 5,258.52 × 2,765.76
  4. Step 4: Simplify right side
    3,815.52x = 14,543,804.28
  5. Step 5: Solve for x
    x = 14,543,804.28/3,815.52
  6. Step 6: Final answer
    x = 3,811.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.