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Finding the Fourth Proportional to 4,326.74, 5,971.66 and 2,558.42

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Solution

The fourth proportional to 4,326.74, 5,971.66 and 2,558.42 is: 3,531.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,326.74 : 5,971.66 = 2,558.42 : x
  2. Step 2: Convert to fraction form
    4,326.74/5,971.66 = 2,558.42/x
  3. Step 3: Cross multiply
    4,326.74x = 5,971.66 × 2,558.42
  4. Step 4: Simplify right side
    4,326.74x = 15,278,014.38
  5. Step 5: Solve for x
    x = 15,278,014.38/4,326.74
  6. Step 6: Final answer
    x = 3,531.07

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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.