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Finding the Fourth Proportional to 4,294.16, 5,926.04 and 2,431.16

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Solution

The fourth proportional to 4,294.16, 5,926.04 and 2,431.16 is: 3,355.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.16 : 5,926.04 = 2,431.16 : x
  2. Step 2: Convert to fraction form
    4,294.16/5,926.04 = 2,431.16/x
  3. Step 3: Cross multiply
    4,294.16x = 5,926.04 × 2,431.16
  4. Step 4: Simplify right side
    4,294.16x = 14,407,151.41
  5. Step 5: Solve for x
    x = 14,407,151.41/4,294.16
  6. Step 6: Final answer
    x = 3,355.06

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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.