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Finding the Fourth Proportional to 4,294.34, 5,926.66 and 2,406.23

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Solution

The fourth proportional to 4,294.34, 5,926.66 and 2,406.23 is: 3,320.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.34 : 5,926.66 = 2,406.23 : x
  2. Step 2: Convert to fraction form
    4,294.34/5,926.66 = 2,406.23/x
  3. Step 3: Cross multiply
    4,294.34x = 5,926.66 × 2,406.23
  4. Step 4: Simplify right side
    4,294.34x = 14,260,877.46
  5. Step 5: Solve for x
    x = 14,260,877.46/4,294.34
  6. Step 6: Final answer
    x = 3,320.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.