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Finding the Fourth Proportional to 4,294.09, 5,926.32 and 2,405.98

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Solution

The fourth proportional to 4,294.09, 5,926.32 and 2,405.98 is: 3,320.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.09 : 5,926.32 = 2,405.98 : x
  2. Step 2: Convert to fraction form
    4,294.09/5,926.32 = 2,405.98/x
  3. Step 3: Cross multiply
    4,294.09x = 5,926.32 × 2,405.98
  4. Step 4: Simplify right side
    4,294.09x = 14,258,565.73
  5. Step 5: Solve for x
    x = 14,258,565.73/4,294.09
  6. Step 6: Final answer
    x = 3,320.51

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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.