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Finding the Fourth Proportional to 4,997.42, 7,496.25 and 1,710.49

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Solution

The fourth proportional to 4,997.42, 7,496.25 and 1,710.49 is: 2,565.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,997.42 : 7,496.25 = 1,710.49 : x
  2. Step 2: Convert to fraction form
    4,997.42/7,496.25 = 1,710.49/x
  3. Step 3: Cross multiply
    4,997.42x = 7,496.25 × 1,710.49
  4. Step 4: Simplify right side
    4,997.42x = 12,822,260.66
  5. Step 5: Solve for x
    x = 12,822,260.66/4,997.42
  6. Step 6: Final answer
    x = 2,565.78

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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.