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Finding the Fourth Proportional to 3,833.78, 5,746.68 and 2,601.30

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Solution

The fourth proportional to 3,833.78, 5,746.68 and 2,601.30 is: 3,899.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.78 : 5,746.68 = 2,601.30 : x
  2. Step 2: Convert to fraction form
    3,833.78/5,746.68 = 2,601.30/x
  3. Step 3: Cross multiply
    3,833.78x = 5,746.68 × 2,601.30
  4. Step 4: Simplify right side
    3,833.78x = 14,948,838.68
  5. Step 5: Solve for x
    x = 14,948,838.68/3,833.78
  6. Step 6: Final answer
    x = 3,899.24

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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.