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Finding the Fourth Proportional to 3,315.93, 4,974.50 and 1,124.47

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Solution

The fourth proportional to 3,315.93, 4,974.50 and 1,124.47 is: 1,686.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,315.93 : 4,974.50 = 1,124.47 : x
  2. Step 2: Convert to fraction form
    3,315.93/4,974.50 = 1,124.47/x
  3. Step 3: Cross multiply
    3,315.93x = 4,974.50 × 1,124.47
  4. Step 4: Simplify right side
    3,315.93x = 5,593,676.02
  5. Step 5: Solve for x
    x = 5,593,676.02/3,315.93
  6. Step 6: Final answer
    x = 1,686.91

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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.