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Finding the Fourth Proportional to 3,877.58, 5,816.41 and 1,797.00

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Solution

The fourth proportional to 3,877.58, 5,816.41 and 1,797.00 is: 2,695.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.58 : 5,816.41 = 1,797.00 : x
  2. Step 2: Convert to fraction form
    3,877.58/5,816.41 = 1,797.00/x
  3. Step 3: Cross multiply
    3,877.58x = 5,816.41 × 1,797.00
  4. Step 4: Simplify right side
    3,877.58x = 10,452,062.47
  5. Step 5: Solve for x
    x = 10,452,062.47/3,877.58
  6. Step 6: Final answer
    x = 2,695.51

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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.