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Finding the Fourth Proportional to 5,570.16, 7,688.16 and 3,213.24

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Solution

The fourth proportional to 5,570.16, 7,688.16 and 3,213.24 is: 4,435.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,570.16 : 7,688.16 = 3,213.24 : x
  2. Step 2: Convert to fraction form
    5,570.16/7,688.16 = 3,213.24/x
  3. Step 3: Cross multiply
    5,570.16x = 7,688.16 × 3,213.24
  4. Step 4: Simplify right side
    5,570.16x = 24,703,903.24
  5. Step 5: Solve for x
    x = 24,703,903.24/5,570.16
  6. Step 6: Final answer
    x = 4,435.04

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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.