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Finding the Fourth Proportional to 5,157.84, 7,728.92 and 3,420.24

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Solution

The fourth proportional to 5,157.84, 7,728.92 and 3,420.24 is: 5,125.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.84 : 7,728.92 = 3,420.24 : x
  2. Step 2: Convert to fraction form
    5,157.84/7,728.92 = 3,420.24/x
  3. Step 3: Cross multiply
    5,157.84x = 7,728.92 × 3,420.24
  4. Step 4: Simplify right side
    5,157.84x = 26,434,761.34
  5. Step 5: Solve for x
    x = 26,434,761.34/5,157.84
  6. Step 6: Final answer
    x = 5,125.16

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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.