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Finding the Fourth Proportional to 3,138.53, 4,707.72 and 1,058.47

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Solution

The fourth proportional to 3,138.53, 4,707.72 and 1,058.47 is: 1,587.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.53 : 4,707.72 = 1,058.47 : x
  2. Step 2: Convert to fraction form
    3,138.53/4,707.72 = 1,058.47/x
  3. Step 3: Cross multiply
    3,138.53x = 4,707.72 × 1,058.47
  4. Step 4: Simplify right side
    3,138.53x = 4,982,968.62
  5. Step 5: Solve for x
    x = 4,982,968.62/3,138.53
  6. Step 6: Final answer
    x = 1,587.68

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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.