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Finding the Fourth Proportional to 3,304.78, 4,953.38 and 1,354.57

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Solution

The fourth proportional to 3,304.78, 4,953.38 and 1,354.57 is: 2,030.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,304.78 : 4,953.38 = 1,354.57 : x
  2. Step 2: Convert to fraction form
    3,304.78/4,953.38 = 1,354.57/x
  3. Step 3: Cross multiply
    3,304.78x = 4,953.38 × 1,354.57
  4. Step 4: Simplify right side
    3,304.78x = 6,709,675.18
  5. Step 5: Solve for x
    x = 6,709,675.18/3,304.78
  6. Step 6: Final answer
    x = 2,030.30

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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.