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Finding the Fourth Proportional to 5,223.87, 7,208.42 and 2,985.71

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Solution

The fourth proportional to 5,223.87, 7,208.42 and 2,985.71 is: 4,119.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.87 : 7,208.42 = 2,985.71 : x
  2. Step 2: Convert to fraction form
    5,223.87/7,208.42 = 2,985.71/x
  3. Step 3: Cross multiply
    5,223.87x = 7,208.42 × 2,985.71
  4. Step 4: Simplify right side
    5,223.87x = 21,522,200.71
  5. Step 5: Solve for x
    x = 21,522,200.71/5,223.87
  6. Step 6: Final answer
    x = 4,119.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.