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Finding the Fourth Proportional to 5,317.79, 7,328.57 and 3,823.11

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Solution

The fourth proportional to 5,317.79, 7,328.57 and 3,823.11 is: 5,268.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,317.79 : 7,328.57 = 3,823.11 : x
  2. Step 2: Convert to fraction form
    5,317.79/7,328.57 = 3,823.11/x
  3. Step 3: Cross multiply
    5,317.79x = 7,328.57 × 3,823.11
  4. Step 4: Simplify right side
    5,317.79x = 28,017,910.14
  5. Step 5: Solve for x
    x = 28,017,910.14/5,317.79
  6. Step 6: Final answer
    x = 5,268.72

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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.