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Finding the Fourth Proportional to 5,167.92, 7,756.02 and 1,881.98

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Solution

The fourth proportional to 5,167.92, 7,756.02 and 1,881.98 is: 2,824.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.92 : 7,756.02 = 1,881.98 : x
  2. Step 2: Convert to fraction form
    5,167.92/7,756.02 = 1,881.98/x
  3. Step 3: Cross multiply
    5,167.92x = 7,756.02 × 1,881.98
  4. Step 4: Simplify right side
    5,167.92x = 14,596,635.74
  5. Step 5: Solve for x
    x = 14,596,635.74/5,167.92
  6. Step 6: Final answer
    x = 2,824.47

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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.