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Finding the Fourth Proportional to 4,843.24, 7,258.47 and 1,919.95

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Solution

The fourth proportional to 4,843.24, 7,258.47 and 1,919.95 is: 2,877.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.24 : 7,258.47 = 1,919.95 : x
  2. Step 2: Convert to fraction form
    4,843.24/7,258.47 = 1,919.95/x
  3. Step 3: Cross multiply
    4,843.24x = 7,258.47 × 1,919.95
  4. Step 4: Simplify right side
    4,843.24x = 13,935,863.18
  5. Step 5: Solve for x
    x = 13,935,863.18/4,843.24
  6. Step 6: Final answer
    x = 2,877.39

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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.