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Finding the Fourth Proportional to 3,486.24, 4,806 and 2,643.84

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Solution

The fourth proportional to 3,486.24, 4,806 and 2,643.84 is: 3,644.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.24 : 4,806 = 2,643.84 : x
  2. Step 2: Convert to fraction form
    3,486.24/4,806 = 2,643.84/x
  3. Step 3: Cross multiply
    3,486.24x = 4,806 × 2,643.84
  4. Step 4: Simplify right side
    3,486.24x = 12,706,295.04
  5. Step 5: Solve for x
    x = 12,706,295.04/3,486.24
  6. Step 6: Final answer
    x = 3,644.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.