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Finding the Fourth Proportional to 5,389.16, 8,083.62 and 1,493.46

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Solution

The fourth proportional to 5,389.16, 8,083.62 and 1,493.46 is: 2,240.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,389.16 : 8,083.62 = 1,493.46 : x
  2. Step 2: Convert to fraction form
    5,389.16/8,083.62 = 1,493.46/x
  3. Step 3: Cross multiply
    5,389.16x = 8,083.62 × 1,493.46
  4. Step 4: Simplify right side
    5,389.16x = 12,072,563.13
  5. Step 5: Solve for x
    x = 12,072,563.13/5,389.16
  6. Step 6: Final answer
    x = 2,240.16

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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.