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Finding the Fourth Proportional to 4,347.75, 6,002.49 and 2,858.25

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Solution

The fourth proportional to 4,347.75, 6,002.49 and 2,858.25 is: 3,946.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,347.75 : 6,002.49 = 2,858.25 : x
  2. Step 2: Convert to fraction form
    4,347.75/6,002.49 = 2,858.25/x
  3. Step 3: Cross multiply
    4,347.75x = 6,002.49 × 2,858.25
  4. Step 4: Simplify right side
    4,347.75x = 17,156,617.04
  5. Step 5: Solve for x
    x = 17,156,617.04/4,347.75
  6. Step 6: Final answer
    x = 3,946.09

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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.