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Finding the Fourth Proportional to 3,138.04, 4,706.84 and 1,058.22

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Solution

The fourth proportional to 3,138.04, 4,706.84 and 1,058.22 is: 1,587.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.04 : 4,706.84 = 1,058.22 : x
  2. Step 2: Convert to fraction form
    3,138.04/4,706.84 = 1,058.22/x
  3. Step 3: Cross multiply
    3,138.04x = 4,706.84 × 1,058.22
  4. Step 4: Simplify right side
    3,138.04x = 4,980,872.22
  5. Step 5: Solve for x
    x = 4,980,872.22/3,138.04
  6. Step 6: Final answer
    x = 1,587.26

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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.