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Finding the Fourth Proportional to 5,612.68, 7,745.38 and 3,374.25

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Solution

The fourth proportional to 5,612.68, 7,745.38 and 3,374.25 is: 4,656.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,612.68 : 7,745.38 = 3,374.25 : x
  2. Step 2: Convert to fraction form
    5,612.68/7,745.38 = 3,374.25/x
  3. Step 3: Cross multiply
    5,612.68x = 7,745.38 × 3,374.25
  4. Step 4: Simplify right side
    5,612.68x = 26,134,848.47
  5. Step 5: Solve for x
    x = 26,134,848.47/5,612.68
  6. Step 6: Final answer
    x = 4,656.39

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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.