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Finding the Fourth Proportional to 4,668.65, 6,442.68 and 2,679.53

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Solution

The fourth proportional to 4,668.65, 6,442.68 and 2,679.53 is: 3,697.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.65 : 6,442.68 = 2,679.53 : x
  2. Step 2: Convert to fraction form
    4,668.65/6,442.68 = 2,679.53/x
  3. Step 3: Cross multiply
    4,668.65x = 6,442.68 × 2,679.53
  4. Step 4: Simplify right side
    4,668.65x = 17,263,332.18
  5. Step 5: Solve for x
    x = 17,263,332.18/4,668.65
  6. Step 6: Final answer
    x = 3,697.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.