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Finding the Fourth Proportional to 5,088.89, 7,634.42 and 1,578.82

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Solution

The fourth proportional to 5,088.89, 7,634.42 and 1,578.82 is: 2,368.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,088.89 : 7,634.42 = 1,578.82 : x
  2. Step 2: Convert to fraction form
    5,088.89/7,634.42 = 1,578.82/x
  3. Step 3: Cross multiply
    5,088.89x = 7,634.42 × 1,578.82
  4. Step 4: Simplify right side
    5,088.89x = 12,053,378.93
  5. Step 5: Solve for x
    x = 12,053,378.93/5,088.89
  6. Step 6: Final answer
    x = 2,368.57

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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.