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Finding the Fourth Proportional to 4,252.86, 5,868.42 and 2,364.20

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Solution

The fourth proportional to 4,252.86, 5,868.42 and 2,364.20 is: 3,262.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,252.86 : 5,868.42 = 2,364.20 : x
  2. Step 2: Convert to fraction form
    4,252.86/5,868.42 = 2,364.20/x
  3. Step 3: Cross multiply
    4,252.86x = 5,868.42 × 2,364.20
  4. Step 4: Simplify right side
    4,252.86x = 13,874,089.22
  5. Step 5: Solve for x
    x = 13,874,089.22/4,252.86
  6. Step 6: Final answer
    x = 3,262.30

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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.