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Finding the Fourth Proportional to 4,596.75, 6,343.04 and 2,827.95

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Solution

The fourth proportional to 4,596.75, 6,343.04 and 2,827.95 is: 3,902.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.75 : 6,343.04 = 2,827.95 : x
  2. Step 2: Convert to fraction form
    4,596.75/6,343.04 = 2,827.95/x
  3. Step 3: Cross multiply
    4,596.75x = 6,343.04 × 2,827.95
  4. Step 4: Simplify right side
    4,596.75x = 17,937,785.83
  5. Step 5: Solve for x
    x = 17,937,785.83/4,596.75
  6. Step 6: Final answer
    x = 3,902.28

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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.