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Finding the Fourth Proportional to 3,117.25, 4,675.88 and 1,578.25

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Solution

The fourth proportional to 3,117.25, 4,675.88 and 1,578.25 is: 2,367.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.25 : 4,675.88 = 1,578.25 : x
  2. Step 2: Convert to fraction form
    3,117.25/4,675.88 = 1,578.25/x
  3. Step 3: Cross multiply
    3,117.25x = 4,675.88 × 1,578.25
  4. Step 4: Simplify right side
    3,117.25x = 7,379,707.61
  5. Step 5: Solve for x
    x = 7,379,707.61/3,117.25
  6. Step 6: Final answer
    x = 2,367.38

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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.