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Finding the Fourth Proportional to 3,862.16, 5,798.69 and 3,685.98

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Solution

The fourth proportional to 3,862.16, 5,798.69 and 3,685.98 is: 5,534.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.16 : 5,798.69 = 3,685.98 : x
  2. Step 2: Convert to fraction form
    3,862.16/5,798.69 = 3,685.98/x
  3. Step 3: Cross multiply
    3,862.16x = 5,798.69 × 3,685.98
  4. Step 4: Simplify right side
    3,862.16x = 21,373,855.37
  5. Step 5: Solve for x
    x = 21,373,855.37/3,862.16
  6. Step 6: Final answer
    x = 5,534.17

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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.