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Finding the Fourth Proportional to 3,430.88, 5,142 and 2,606.66

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Solution

The fourth proportional to 3,430.88, 5,142 and 2,606.66 is: 3,906.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.88 : 5,142 = 2,606.66 : x
  2. Step 2: Convert to fraction form
    3,430.88/5,142 = 2,606.66/x
  3. Step 3: Cross multiply
    3,430.88x = 5,142 × 2,606.66
  4. Step 4: Simplify right side
    3,430.88x = 13,403,445.72
  5. Step 5: Solve for x
    x = 13,403,445.72/3,430.88
  6. Step 6: Final answer
    x = 3,906.71

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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.