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Finding the Fourth Proportional to 3,123.84, 4,686.72 and 1,072

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Solution

The fourth proportional to 3,123.84, 4,686.72 and 1,072 is: 1,608.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.84 : 4,686.72 = 1,072 : x
  2. Step 2: Convert to fraction form
    3,123.84/4,686.72 = 1,072/x
  3. Step 3: Cross multiply
    3,123.84x = 4,686.72 × 1,072
  4. Step 4: Simplify right side
    3,123.84x = 5,024,163.84
  5. Step 5: Solve for x
    x = 5,024,163.84/3,123.84
  6. Step 6: Final answer
    x = 1,608.33

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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.