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Finding the Fourth Proportional to 4,361.85, 6,543.61 and 1,863.00

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Solution

The fourth proportional to 4,361.85, 6,543.61 and 1,863.00 is: 2,794.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,361.85 : 6,543.61 = 1,863.00 : x
  2. Step 2: Convert to fraction form
    4,361.85/6,543.61 = 1,863.00/x
  3. Step 3: Cross multiply
    4,361.85x = 6,543.61 × 1,863.00
  4. Step 4: Simplify right side
    4,361.85x = 12,190,712.71
  5. Step 5: Solve for x
    x = 12,190,712.71/4,361.85
  6. Step 6: Final answer
    x = 2,794.85

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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.