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Finding the Fourth Proportional to 3,159.56, 4,706.92 and 3,017.41

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Solution

The fourth proportional to 3,159.56, 4,706.92 and 3,017.41 is: 4,495.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159.56 : 4,706.92 = 3,017.41 : x
  2. Step 2: Convert to fraction form
    3,159.56/4,706.92 = 3,017.41/x
  3. Step 3: Cross multiply
    3,159.56x = 4,706.92 × 3,017.41
  4. Step 4: Simplify right side
    3,159.56x = 14,202,680.62
  5. Step 5: Solve for x
    x = 14,202,680.62/3,159.56
  6. Step 6: Final answer
    x = 4,495.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.