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Finding the Fourth Proportional to 5,243.56, 7,823.33 and 4,184.44

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Solution

The fourth proportional to 5,243.56, 7,823.33 and 4,184.44 is: 6,243.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243.56 : 7,823.33 = 4,184.44 : x
  2. Step 2: Convert to fraction form
    5,243.56/7,823.33 = 4,184.44/x
  3. Step 3: Cross multiply
    5,243.56x = 7,823.33 × 4,184.44
  4. Step 4: Simplify right side
    5,243.56x = 32,736,254.99
  5. Step 5: Solve for x
    x = 32,736,254.99/5,243.56
  6. Step 6: Final answer
    x = 6,243.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.