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Finding the Fourth Proportional to 4,446.25, 6,668.76 and 1,159.08

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Solution

The fourth proportional to 4,446.25, 6,668.76 and 1,159.08 is: 1,738.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,446.25 : 6,668.76 = 1,159.08 : x
  2. Step 2: Convert to fraction form
    4,446.25/6,668.76 = 1,159.08/x
  3. Step 3: Cross multiply
    4,446.25x = 6,668.76 × 1,159.08
  4. Step 4: Simplify right side
    4,446.25x = 7,729,626.34
  5. Step 5: Solve for x
    x = 7,729,626.34/4,446.25
  6. Step 6: Final answer
    x = 1,738.46

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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.