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Finding the Fourth Proportional to 7,058.56, 9,741.23 and 4,034.62

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Solution

The fourth proportional to 7,058.56, 9,741.23 and 4,034.62 is: 5,568.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,058.56 : 9,741.23 = 4,034.62 : x
  2. Step 2: Convert to fraction form
    7,058.56/9,741.23 = 4,034.62/x
  3. Step 3: Cross multiply
    7,058.56x = 9,741.23 × 4,034.62
  4. Step 4: Simplify right side
    7,058.56x = 39,302,141.21
  5. Step 5: Solve for x
    x = 39,302,141.21/7,058.56
  6. Step 6: Final answer
    x = 5,568.02

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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.