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Finding the Fourth Proportional to 5,724.86, 7,904.10 and 4,396.18

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Solution

The fourth proportional to 5,724.86, 7,904.10 and 4,396.18 is: 6,069.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724.86 : 7,904.10 = 4,396.18 : x
  2. Step 2: Convert to fraction form
    5,724.86/7,904.10 = 4,396.18/x
  3. Step 3: Cross multiply
    5,724.86x = 7,904.10 × 4,396.18
  4. Step 4: Simplify right side
    5,724.86x = 34,747,846.34
  5. Step 5: Solve for x
    x = 34,747,846.34/5,724.86
  6. Step 6: Final answer
    x = 6,069.64

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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.