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Finding the Fourth Proportional to 4,999.86, 7,491.57 and 1,711.16

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Solution

The fourth proportional to 4,999.86, 7,491.57 and 1,711.16 is: 2,563.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,999.86 : 7,491.57 = 1,711.16 : x
  2. Step 2: Convert to fraction form
    4,999.86/7,491.57 = 1,711.16/x
  3. Step 3: Cross multiply
    4,999.86x = 7,491.57 × 1,711.16
  4. Step 4: Simplify right side
    4,999.86x = 12,819,237.46
  5. Step 5: Solve for x
    x = 12,819,237.46/4,999.86
  6. Step 6: Final answer
    x = 2,563.92

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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.