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Finding the Fourth Proportional to 4,668.71, 6,442.43 and 2,652.11

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Solution

The fourth proportional to 4,668.71, 6,442.43 and 2,652.11 is: 3,659.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.71 : 6,442.43 = 2,652.11 : x
  2. Step 2: Convert to fraction form
    4,668.71/6,442.43 = 2,652.11/x
  3. Step 3: Cross multiply
    4,668.71x = 6,442.43 × 2,652.11
  4. Step 4: Simplify right side
    4,668.71x = 17,085,987.55
  5. Step 5: Solve for x
    x = 17,085,987.55/4,668.71
  6. Step 6: Final answer
    x = 3,659.68

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Why These Related Problems?

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