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Finding the Fourth Proportional to 3,952.04, 5,926.84 and 1,643

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Solution

The fourth proportional to 3,952.04, 5,926.84 and 1,643 is: 2,463.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.04 : 5,926.84 = 1,643 : x
  2. Step 2: Convert to fraction form
    3,952.04/5,926.84 = 1,643/x
  3. Step 3: Cross multiply
    3,952.04x = 5,926.84 × 1,643
  4. Step 4: Simplify right side
    3,952.04x = 9,737,798.12
  5. Step 5: Solve for x
    x = 9,737,798.12/3,952.04
  6. Step 6: Final answer
    x = 2,463.99

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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.