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Finding the Fourth Proportional to 4,797.71, 7,196.90 and 1,677.36

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Solution

The fourth proportional to 4,797.71, 7,196.90 and 1,677.36 is: 2,516.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,797.71 : 7,196.90 = 1,677.36 : x
  2. Step 2: Convert to fraction form
    4,797.71/7,196.90 = 1,677.36/x
  3. Step 3: Cross multiply
    4,797.71x = 7,196.90 × 1,677.36
  4. Step 4: Simplify right side
    4,797.71x = 12,071,783.80
  5. Step 5: Solve for x
    x = 12,071,783.80/4,797.71
  6. Step 6: Final answer
    x = 2,516.16

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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.