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Finding the Fourth Proportional to 3,554.78, 5,332.12 and 1,605.62

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Solution

The fourth proportional to 3,554.78, 5,332.12 and 1,605.62 is: 2,408.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,554.78 : 5,332.12 = 1,605.62 : x
  2. Step 2: Convert to fraction form
    3,554.78/5,332.12 = 1,605.62/x
  3. Step 3: Cross multiply
    3,554.78x = 5,332.12 × 1,605.62
  4. Step 4: Simplify right side
    3,554.78x = 8,561,358.51
  5. Step 5: Solve for x
    x = 8,561,358.51/3,554.78
  6. Step 6: Final answer
    x = 2,408.41

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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.