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Finding the Fourth Proportional to 4,596.24, 6,340.71 and 2,827.20

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Solution

The fourth proportional to 4,596.24, 6,340.71 and 2,827.20 is: 3,900.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.24 : 6,340.71 = 2,827.20 : x
  2. Step 2: Convert to fraction form
    4,596.24/6,340.71 = 2,827.20/x
  3. Step 3: Cross multiply
    4,596.24x = 6,340.71 × 2,827.20
  4. Step 4: Simplify right side
    4,596.24x = 17,926,455.31
  5. Step 5: Solve for x
    x = 17,926,455.31/4,596.24
  6. Step 6: Final answer
    x = 3,900.24

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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.