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Finding the Fourth Proportional to 3,870.42, 5,808.45 and 2,899.14

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Solution

The fourth proportional to 3,870.42, 5,808.45 and 2,899.14 is: 4,350.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.42 : 5,808.45 = 2,899.14 : x
  2. Step 2: Convert to fraction form
    3,870.42/5,808.45 = 2,899.14/x
  3. Step 3: Cross multiply
    3,870.42x = 5,808.45 × 2,899.14
  4. Step 4: Simplify right side
    3,870.42x = 16,839,509.73
  5. Step 5: Solve for x
    x = 16,839,509.73/3,870.42
  6. Step 6: Final answer
    x = 4,350.82

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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.