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Finding the Fourth Proportional to 4,717.80, 7,076.80 and 1,715.74

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Solution

The fourth proportional to 4,717.80, 7,076.80 and 1,715.74 is: 2,573.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,717.80 : 7,076.80 = 1,715.74 : x
  2. Step 2: Convert to fraction form
    4,717.80/7,076.80 = 1,715.74/x
  3. Step 3: Cross multiply
    4,717.80x = 7,076.80 × 1,715.74
  4. Step 4: Simplify right side
    4,717.80x = 12,141,933.28
  5. Step 5: Solve for x
    x = 12,141,933.28/4,717.80
  6. Step 6: Final answer
    x = 2,573.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.