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Finding the Fourth Proportional to 5,435.67, 7,498.55 and 3,546.38

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Solution

The fourth proportional to 5,435.67, 7,498.55 and 3,546.38 is: 4,892.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,435.67 : 7,498.55 = 3,546.38 : x
  2. Step 2: Convert to fraction form
    5,435.67/7,498.55 = 3,546.38/x
  3. Step 3: Cross multiply
    5,435.67x = 7,498.55 × 3,546.38
  4. Step 4: Simplify right side
    5,435.67x = 26,592,652.52
  5. Step 5: Solve for x
    x = 26,592,652.52/5,435.67
  6. Step 6: Final answer
    x = 4,892.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.