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Finding the Fourth Proportional to 4,992.44, 7,488.54 and 1,294.65

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Solution

The fourth proportional to 4,992.44, 7,488.54 and 1,294.65 is: 1,941.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,992.44 : 7,488.54 = 1,294.65 : x
  2. Step 2: Convert to fraction form
    4,992.44/7,488.54 = 1,294.65/x
  3. Step 3: Cross multiply
    4,992.44x = 7,488.54 × 1,294.65
  4. Step 4: Simplify right side
    4,992.44x = 9,695,038.31
  5. Step 5: Solve for x
    x = 9,695,038.31/4,992.44
  6. Step 6: Final answer
    x = 1,941.95

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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.