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Finding the Fourth Proportional to 3,396.78, 5,092.28 and 1,547.24

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Solution

The fourth proportional to 3,396.78, 5,092.28 and 1,547.24 is: 2,319.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,396.78 : 5,092.28 = 1,547.24 : x
  2. Step 2: Convert to fraction form
    3,396.78/5,092.28 = 1,547.24/x
  3. Step 3: Cross multiply
    3,396.78x = 5,092.28 × 1,547.24
  4. Step 4: Simplify right side
    3,396.78x = 7,878,979.31
  5. Step 5: Solve for x
    x = 7,878,979.31/3,396.78
  6. Step 6: Final answer
    x = 2,319.54

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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.