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Finding the Fourth Proportional to 3,860.48, 5,788.16 and 2,942.08

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Solution

The fourth proportional to 3,860.48, 5,788.16 and 2,942.08 is: 4,411.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,860.48 : 5,788.16 = 2,942.08 : x
  2. Step 2: Convert to fraction form
    3,860.48/5,788.16 = 2,942.08/x
  3. Step 3: Cross multiply
    3,860.48x = 5,788.16 × 2,942.08
  4. Step 4: Simplify right side
    3,860.48x = 17,029,229.77
  5. Step 5: Solve for x
    x = 17,029,229.77/3,860.48
  6. Step 6: Final answer
    x = 4,411.17

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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.