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Finding the Fourth Proportional to 4,827.13, 7,224.24 and 4,048

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Solution

The fourth proportional to 4,827.13, 7,224.24 and 4,048 is: 6,058.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,827.13 : 7,224.24 = 4,048 : x
  2. Step 2: Convert to fraction form
    4,827.13/7,224.24 = 4,048/x
  3. Step 3: Cross multiply
    4,827.13x = 7,224.24 × 4,048
  4. Step 4: Simplify right side
    4,827.13x = 29,243,723.52
  5. Step 5: Solve for x
    x = 29,243,723.52/4,827.13
  6. Step 6: Final answer
    x = 6,058.20

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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.