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Finding the Fourth Proportional to 4,864.30, 7,297.74 and 1,744.61

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Solution

The fourth proportional to 4,864.30, 7,297.74 and 1,744.61 is: 2,617.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,864.30 : 7,297.74 = 1,744.61 : x
  2. Step 2: Convert to fraction form
    4,864.30/7,297.74 = 1,744.61/x
  3. Step 3: Cross multiply
    4,864.30x = 7,297.74 × 1,744.61
  4. Step 4: Simplify right side
    4,864.30x = 12,731,710.18
  5. Step 5: Solve for x
    x = 12,731,710.18/4,864.30
  6. Step 6: Final answer
    x = 2,617.38

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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.