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Finding the Fourth Proportional to 4,744.69, 7,116.22 and 1,281.13

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Solution

The fourth proportional to 4,744.69, 7,116.22 and 1,281.13 is: 1,921.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,744.69 : 7,116.22 = 1,281.13 : x
  2. Step 2: Convert to fraction form
    4,744.69/7,116.22 = 1,281.13/x
  3. Step 3: Cross multiply
    4,744.69x = 7,116.22 × 1,281.13
  4. Step 4: Simplify right side
    4,744.69x = 9,116,802.93
  5. Step 5: Solve for x
    x = 9,116,802.93/4,744.69
  6. Step 6: Final answer
    x = 1,921.47

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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.