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Finding the Fourth Proportional to 4,294.90, 5,926.89 and 2,406.48

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Solution

The fourth proportional to 4,294.90, 5,926.89 and 2,406.48 is: 3,320.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.90 : 5,926.89 = 2,406.48 : x
  2. Step 2: Convert to fraction form
    4,294.90/5,926.89 = 2,406.48/x
  3. Step 3: Cross multiply
    4,294.90x = 5,926.89 × 2,406.48
  4. Step 4: Simplify right side
    4,294.90x = 14,262,951.27
  5. Step 5: Solve for x
    x = 14,262,951.27/4,294.90
  6. Step 6: Final answer
    x = 3,320.90

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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.