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Finding the Fourth Proportional to 4,633.78, 6,952.65 and 3,074.33

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Solution

The fourth proportional to 4,633.78, 6,952.65 and 3,074.33 is: 4,612.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,633.78 : 6,952.65 = 3,074.33 : x
  2. Step 2: Convert to fraction form
    4,633.78/6,952.65 = 3,074.33/x
  3. Step 3: Cross multiply
    4,633.78x = 6,952.65 × 3,074.33
  4. Step 4: Simplify right side
    4,633.78x = 21,374,740.47
  5. Step 5: Solve for x
    x = 21,374,740.47/4,633.78
  6. Step 6: Final answer
    x = 4,612.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.