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Finding the Fourth Proportional to 3,346.50, 5,018.05 and 1,124.57

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Solution

The fourth proportional to 3,346.50, 5,018.05 and 1,124.57 is: 1,686.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,346.50 : 5,018.05 = 1,124.57 : x
  2. Step 2: Convert to fraction form
    3,346.50/5,018.05 = 1,124.57/x
  3. Step 3: Cross multiply
    3,346.50x = 5,018.05 × 1,124.57
  4. Step 4: Simplify right side
    3,346.50x = 5,643,162.44
  5. Step 5: Solve for x
    x = 5,643,162.44/3,346.50
  6. Step 6: Final answer
    x = 1,686.29

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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.