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Finding the Fourth Proportional to 5,288.16, 7,932.20 and 2,210.16

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Solution

The fourth proportional to 5,288.16, 7,932.20 and 2,210.16 is: 3,315.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,288.16 : 7,932.20 = 2,210.16 : x
  2. Step 2: Convert to fraction form
    5,288.16/7,932.20 = 2,210.16/x
  3. Step 3: Cross multiply
    5,288.16x = 7,932.20 × 2,210.16
  4. Step 4: Simplify right side
    5,288.16x = 17,531,431.15
  5. Step 5: Solve for x
    x = 17,531,431.15/5,288.16
  6. Step 6: Final answer
    x = 3,315.22

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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.