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Finding the Fourth Proportional to 4,717.65, 7,076.46 and 1,597.68

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Solution

The fourth proportional to 4,717.65, 7,076.46 and 1,597.68 is: 2,396.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,717.65 : 7,076.46 = 1,597.68 : x
  2. Step 2: Convert to fraction form
    4,717.65/7,076.46 = 1,597.68/x
  3. Step 3: Cross multiply
    4,717.65x = 7,076.46 × 1,597.68
  4. Step 4: Simplify right side
    4,717.65x = 11,305,918.61
  5. Step 5: Solve for x
    x = 11,305,918.61/4,717.65
  6. Step 6: Final answer
    x = 2,396.51

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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.