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Finding the Fourth Proportional to 3,694, 5,546.52 and 1,507

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Solution

The fourth proportional to 3,694, 5,546.52 and 1,507 is: 2,262.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694 : 5,546.52 = 1,507 : x
  2. Step 2: Convert to fraction form
    3,694/5,546.52 = 1,507/x
  3. Step 3: Cross multiply
    3,694x = 5,546.52 × 1,507
  4. Step 4: Simplify right side
    3,694x = 8,358,605.64
  5. Step 5: Solve for x
    x = 8,358,605.64/3,694
  6. Step 6: Final answer
    x = 2,262.75

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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.