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Finding the Fourth Proportional to 5,135.16, 7,699.67 and 2,497.48

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Solution

The fourth proportional to 5,135.16, 7,699.67 and 2,497.48 is: 3,744.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,135.16 : 7,699.67 = 2,497.48 : x
  2. Step 2: Convert to fraction form
    5,135.16/7,699.67 = 2,497.48/x
  3. Step 3: Cross multiply
    5,135.16x = 7,699.67 × 2,497.48
  4. Step 4: Simplify right side
    5,135.16x = 19,229,771.83
  5. Step 5: Solve for x
    x = 19,229,771.83/5,135.16
  6. Step 6: Final answer
    x = 3,744.73

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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.