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Finding the Fourth Proportional to 5,252.39, 7,878.32 and 1,965.22

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Solution

The fourth proportional to 5,252.39, 7,878.32 and 1,965.22 is: 2,947.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.39 : 7,878.32 = 1,965.22 : x
  2. Step 2: Convert to fraction form
    5,252.39/7,878.32 = 1,965.22/x
  3. Step 3: Cross multiply
    5,252.39x = 7,878.32 × 1,965.22
  4. Step 4: Simplify right side
    5,252.39x = 15,482,602.51
  5. Step 5: Solve for x
    x = 15,482,602.51/5,252.39
  6. Step 6: Final answer
    x = 2,947.73

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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.