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Finding the Fourth Proportional to 5,476.98, 7,568.16 and 3,902.34

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Solution

The fourth proportional to 5,476.98, 7,568.16 and 3,902.34 is: 5,392.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,476.98 : 7,568.16 = 3,902.34 : x
  2. Step 2: Convert to fraction form
    5,476.98/7,568.16 = 3,902.34/x
  3. Step 3: Cross multiply
    5,476.98x = 7,568.16 × 3,902.34
  4. Step 4: Simplify right side
    5,476.98x = 29,533,533.49
  5. Step 5: Solve for x
    x = 29,533,533.49/5,476.98
  6. Step 6: Final answer
    x = 5,392.30

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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.