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Finding the Fourth Proportional to 4,992.69, 7,488.40 and 1,295.18

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Solution

The fourth proportional to 4,992.69, 7,488.40 and 1,295.18 is: 1,942.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,992.69 : 7,488.40 = 1,295.18 : x
  2. Step 2: Convert to fraction form
    4,992.69/7,488.40 = 1,295.18/x
  3. Step 3: Cross multiply
    4,992.69x = 7,488.40 × 1,295.18
  4. Step 4: Simplify right side
    4,992.69x = 9,698,803.95
  5. Step 5: Solve for x
    x = 9,698,803.95/4,992.69
  6. Step 6: Final answer
    x = 1,942.60

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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.