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Finding the Fourth Proportional to 5,810.48, 8,013.83 and 3,823.08

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Solution

The fourth proportional to 5,810.48, 8,013.83 and 3,823.08 is: 5,272.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,810.48 : 8,013.83 = 3,823.08 : x
  2. Step 2: Convert to fraction form
    5,810.48/8,013.83 = 3,823.08/x
  3. Step 3: Cross multiply
    5,810.48x = 8,013.83 × 3,823.08
  4. Step 4: Simplify right side
    5,810.48x = 30,637,494.08
  5. Step 5: Solve for x
    x = 30,637,494.08/5,810.48
  6. Step 6: Final answer
    x = 5,272.80

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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.