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Finding the Fourth Proportional to 3,855.66, 5,782.95 and 1,390.14

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Solution

The fourth proportional to 3,855.66, 5,782.95 and 1,390.14 is: 2,085.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.66 : 5,782.95 = 1,390.14 : x
  2. Step 2: Convert to fraction form
    3,855.66/5,782.95 = 1,390.14/x
  3. Step 3: Cross multiply
    3,855.66x = 5,782.95 × 1,390.14
  4. Step 4: Simplify right side
    3,855.66x = 8,039,110.11
  5. Step 5: Solve for x
    x = 8,039,110.11/3,855.66
  6. Step 6: Final answer
    x = 2,085.02

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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.