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Finding the Fourth Proportional to 5,638.64, 7,778.24 and 3,399.16

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Solution

The fourth proportional to 5,638.64, 7,778.24 and 3,399.16 is: 4,688.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.64 : 7,778.24 = 3,399.16 : x
  2. Step 2: Convert to fraction form
    5,638.64/7,778.24 = 3,399.16/x
  3. Step 3: Cross multiply
    5,638.64x = 7,778.24 × 3,399.16
  4. Step 4: Simplify right side
    5,638.64x = 26,439,482.28
  5. Step 5: Solve for x
    x = 26,439,482.28/5,638.64
  6. Step 6: Final answer
    x = 4,688.98

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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.