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Finding the Fourth Proportional to 3,138.62, 4,707.81 and 1,058.58

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Solution

The fourth proportional to 3,138.62, 4,707.81 and 1,058.58 is: 1,587.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.62 : 4,707.81 = 1,058.58 : x
  2. Step 2: Convert to fraction form
    3,138.62/4,707.81 = 1,058.58/x
  3. Step 3: Cross multiply
    3,138.62x = 4,707.81 × 1,058.58
  4. Step 4: Simplify right side
    3,138.62x = 4,983,593.51
  5. Step 5: Solve for x
    x = 4,983,593.51/3,138.62
  6. Step 6: Final answer
    x = 1,587.83

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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.