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Finding the Fourth Proportional to 3,138.06, 4,707.72 and 1,058.70

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Solution

The fourth proportional to 3,138.06, 4,707.72 and 1,058.70 is: 1,588.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.06 : 4,707.72 = 1,058.70 : x
  2. Step 2: Convert to fraction form
    3,138.06/4,707.72 = 1,058.70/x
  3. Step 3: Cross multiply
    3,138.06x = 4,707.72 × 1,058.70
  4. Step 4: Simplify right side
    3,138.06x = 4,984,063.16
  5. Step 5: Solve for x
    x = 4,984,063.16/3,138.06
  6. Step 6: Final answer
    x = 1,588.26

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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.