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Finding the Fourth Proportional to 5,948.13, 8,206.06 and 3,823.30

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Solution

The fourth proportional to 5,948.13, 8,206.06 and 3,823.30 is: 5,274.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,948.13 : 8,206.06 = 3,823.30 : x
  2. Step 2: Convert to fraction form
    5,948.13/8,206.06 = 3,823.30/x
  3. Step 3: Cross multiply
    5,948.13x = 8,206.06 × 3,823.30
  4. Step 4: Simplify right side
    5,948.13x = 31,374,237.07
  5. Step 5: Solve for x
    x = 31,374,237.07/5,948.13
  6. Step 6: Final answer
    x = 5,274.64

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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.