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Finding the Fourth Proportional to 3,585.70, 5,377.92 and 988.06

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Solution

The fourth proportional to 3,585.70, 5,377.92 and 988.06 is: 1,481.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.70 : 5,377.92 = 988.06 : x
  2. Step 2: Convert to fraction form
    3,585.70/5,377.92 = 988.06/x
  3. Step 3: Cross multiply
    3,585.70x = 5,377.92 × 988.06
  4. Step 4: Simplify right side
    3,585.70x = 5,313,707.64
  5. Step 5: Solve for x
    x = 5,313,707.64/3,585.70
  6. Step 6: Final answer
    x = 1,481.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.