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Finding the Fourth Proportional to 5,288.24, 7,933.32 and 2,366.48

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Solution

The fourth proportional to 5,288.24, 7,933.32 and 2,366.48 is: 3,550.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,288.24 : 7,933.32 = 2,366.48 : x
  2. Step 2: Convert to fraction form
    5,288.24/7,933.32 = 2,366.48/x
  3. Step 3: Cross multiply
    5,288.24x = 7,933.32 × 2,366.48
  4. Step 4: Simplify right side
    5,288.24x = 18,774,043.11
  5. Step 5: Solve for x
    x = 18,774,043.11/5,288.24
  6. Step 6: Final answer
    x = 3,550.15

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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.