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Finding the Fourth Proportional to 4,992.27, 7,488.59 and 1,294.40

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Solution

The fourth proportional to 4,992.27, 7,488.59 and 1,294.40 is: 1,941.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,992.27 : 7,488.59 = 1,294.40 : x
  2. Step 2: Convert to fraction form
    4,992.27/7,488.59 = 1,294.40/x
  3. Step 3: Cross multiply
    4,992.27x = 7,488.59 × 1,294.40
  4. Step 4: Simplify right side
    4,992.27x = 9,693,224.77
  5. Step 5: Solve for x
    x = 9,693,224.77/4,992.27
  6. Step 6: Final answer
    x = 1,941.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.