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Finding the Fourth Proportional to 4,151.63, 5,729.90 and 2,659.47

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Solution

The fourth proportional to 4,151.63, 5,729.90 and 2,659.47 is: 3,670.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,151.63 : 5,729.90 = 2,659.47 : x
  2. Step 2: Convert to fraction form
    4,151.63/5,729.90 = 2,659.47/x
  3. Step 3: Cross multiply
    4,151.63x = 5,729.90 × 2,659.47
  4. Step 4: Simplify right side
    4,151.63x = 15,238,483.86
  5. Step 5: Solve for x
    x = 15,238,483.86/4,151.63
  6. Step 6: Final answer
    x = 3,670.49

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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.