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Finding the Fourth Proportional to 5,178.34, 7,762.49 and 2,057.32

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Solution

The fourth proportional to 5,178.34, 7,762.49 and 2,057.32 is: 3,083.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.34 : 7,762.49 = 2,057.32 : x
  2. Step 2: Convert to fraction form
    5,178.34/7,762.49 = 2,057.32/x
  3. Step 3: Cross multiply
    5,178.34x = 7,762.49 × 2,057.32
  4. Step 4: Simplify right side
    5,178.34x = 15,969,925.93
  5. Step 5: Solve for x
    x = 15,969,925.93/5,178.34
  6. Step 6: Final answer
    x = 3,083.99

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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.