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Finding the Fourth Proportional to 5,212.04, 7,812.68 and 1,879.24

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Solution

The fourth proportional to 5,212.04, 7,812.68 and 1,879.24 is: 2,816.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.04 : 7,812.68 = 1,879.24 : x
  2. Step 2: Convert to fraction form
    5,212.04/7,812.68 = 1,879.24/x
  3. Step 3: Cross multiply
    5,212.04x = 7,812.68 × 1,879.24
  4. Step 4: Simplify right side
    5,212.04x = 14,681,900.76
  5. Step 5: Solve for x
    x = 14,681,900.76/5,212.04
  6. Step 6: Final answer
    x = 2,816.92

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