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Finding the Fourth Proportional to 5,218, 7,200.84 and 3,011.28

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Solution

The fourth proportional to 5,218, 7,200.84 and 3,011.28 is: 4,155.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218 : 7,200.84 = 3,011.28 : x
  2. Step 2: Convert to fraction form
    5,218/7,200.84 = 3,011.28/x
  3. Step 3: Cross multiply
    5,218x = 7,200.84 × 3,011.28
  4. Step 4: Simplify right side
    5,218x = 21,683,745.48
  5. Step 5: Solve for x
    x = 21,683,745.48/5,218
  6. Step 6: Final answer
    x = 4,155.57

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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.