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Finding the Fourth Proportional to 5,167.86, 7,748.34 and 2,670.57

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Solution

The fourth proportional to 5,167.86, 7,748.34 and 2,670.57 is: 4,004.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.86 : 7,748.34 = 2,670.57 : x
  2. Step 2: Convert to fraction form
    5,167.86/7,748.34 = 2,670.57/x
  3. Step 3: Cross multiply
    5,167.86x = 7,748.34 × 2,670.57
  4. Step 4: Simplify right side
    5,167.86x = 20,692,484.35
  5. Step 5: Solve for x
    x = 20,692,484.35/5,167.86
  6. Step 6: Final answer
    x = 4,004.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.