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Finding the Fourth Proportional to 5,239.86, 7,857.98 and 2,320.22

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Solution

The fourth proportional to 5,239.86, 7,857.98 and 2,320.22 is: 3,479.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,239.86 : 7,857.98 = 2,320.22 : x
  2. Step 2: Convert to fraction form
    5,239.86/7,857.98 = 2,320.22/x
  3. Step 3: Cross multiply
    5,239.86x = 7,857.98 × 2,320.22
  4. Step 4: Simplify right side
    5,239.86x = 18,232,242.36
  5. Step 5: Solve for x
    x = 18,232,242.36/5,239.86
  6. Step 6: Final answer
    x = 3,479.53

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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.