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Finding the Fourth Proportional to 4,998.29, 7,495.29 and 1,711.71

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Solution

The fourth proportional to 4,998.29, 7,495.29 and 1,711.71 is: 2,566.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,998.29 : 7,495.29 = 1,711.71 : x
  2. Step 2: Convert to fraction form
    4,998.29/7,495.29 = 1,711.71/x
  3. Step 3: Cross multiply
    4,998.29x = 7,495.29 × 1,711.71
  4. Step 4: Simplify right side
    4,998.29x = 12,829,762.85
  5. Step 5: Solve for x
    x = 12,829,762.85/4,998.29
  6. Step 6: Final answer
    x = 2,566.83

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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.