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Finding the Fourth Proportional to 4,294.96, 5,927.10 and 2,406.52

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Solution

The fourth proportional to 4,294.96, 5,927.10 and 2,406.52 is: 3,321.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.96 : 5,927.10 = 2,406.52 : x
  2. Step 2: Convert to fraction form
    4,294.96/5,927.10 = 2,406.52/x
  3. Step 3: Cross multiply
    4,294.96x = 5,927.10 × 2,406.52
  4. Step 4: Simplify right side
    4,294.96x = 14,263,684.69
  5. Step 5: Solve for x
    x = 14,263,684.69/4,294.96
  6. Step 6: Final answer
    x = 3,321.03

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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.