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Finding the Fourth Proportional to 3,866.36, 5,335.98 and 2,294.60

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Solution

The fourth proportional to 3,866.36, 5,335.98 and 2,294.60 is: 3,166.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.36 : 5,335.98 = 2,294.60 : x
  2. Step 2: Convert to fraction form
    3,866.36/5,335.98 = 2,294.60/x
  3. Step 3: Cross multiply
    3,866.36x = 5,335.98 × 2,294.60
  4. Step 4: Simplify right side
    3,866.36x = 12,243,939.71
  5. Step 5: Solve for x
    x = 12,243,939.71/3,866.36
  6. Step 6: Final answer
    x = 3,166.79

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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.