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Finding the Fourth Proportional to 5,207.58, 7,813.80 and 2,578.32

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Solution

The fourth proportional to 5,207.58, 7,813.80 and 2,578.32 is: 3,868.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.58 : 7,813.80 = 2,578.32 : x
  2. Step 2: Convert to fraction form
    5,207.58/7,813.80 = 2,578.32/x
  3. Step 3: Cross multiply
    5,207.58x = 7,813.80 × 2,578.32
  4. Step 4: Simplify right side
    5,207.58x = 20,146,476.82
  5. Step 5: Solve for x
    x = 20,146,476.82/5,207.58
  6. Step 6: Final answer
    x = 3,868.68

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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.