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Finding the Fourth Proportional to 3,699.52, 5,546.54 and 1,358.29

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Solution

The fourth proportional to 3,699.52, 5,546.54 and 1,358.29 is: 2,036.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.52 : 5,546.54 = 1,358.29 : x
  2. Step 2: Convert to fraction form
    3,699.52/5,546.54 = 1,358.29/x
  3. Step 3: Cross multiply
    3,699.52x = 5,546.54 × 1,358.29
  4. Step 4: Simplify right side
    3,699.52x = 7,533,799.35
  5. Step 5: Solve for x
    x = 7,533,799.35/3,699.52
  6. Step 6: Final answer
    x = 2,036.43

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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.