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Finding the Fourth Proportional to 3,058.14, 4,587.24 and 749.64

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Solution

The fourth proportional to 3,058.14, 4,587.24 and 749.64 is: 1,124.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,058.14 : 4,587.24 = 749.64 : x
  2. Step 2: Convert to fraction form
    3,058.14/4,587.24 = 749.64/x
  3. Step 3: Cross multiply
    3,058.14x = 4,587.24 × 749.64
  4. Step 4: Simplify right side
    3,058.14x = 3,438,778.59
  5. Step 5: Solve for x
    x = 3,438,778.59/3,058.14
  6. Step 6: Final answer
    x = 1,124.47

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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.