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Finding the Fourth Proportional to 5,089.01, 7,634.61 and 1,578.94

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Solution

The fourth proportional to 5,089.01, 7,634.61 and 1,578.94 is: 2,368.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,089.01 : 7,634.61 = 1,578.94 : x
  2. Step 2: Convert to fraction form
    5,089.01/7,634.61 = 1,578.94/x
  3. Step 3: Cross multiply
    5,089.01x = 7,634.61 × 1,578.94
  4. Step 4: Simplify right side
    5,089.01x = 12,054,617.77
  5. Step 5: Solve for x
    x = 12,054,617.77/5,089.01
  6. Step 6: Final answer
    x = 2,368.75

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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.