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Finding the Fourth Proportional to 3,433.96, 4,738.84 and 1,862.08

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Solution

The fourth proportional to 3,433.96, 4,738.84 and 1,862.08 is: 2,569.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433.96 : 4,738.84 = 1,862.08 : x
  2. Step 2: Convert to fraction form
    3,433.96/4,738.84 = 1,862.08/x
  3. Step 3: Cross multiply
    3,433.96x = 4,738.84 × 1,862.08
  4. Step 4: Simplify right side
    3,433.96x = 8,824,099.19
  5. Step 5: Solve for x
    x = 8,824,099.19/3,433.96
  6. Step 6: Final answer
    x = 2,569.66

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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.