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Finding the Fourth Proportional to 5,589.86, 7,715.25 and 4,376.16

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Solution

The fourth proportional to 5,589.86, 7,715.25 and 4,376.16 is: 6,040.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,589.86 : 7,715.25 = 4,376.16 : x
  2. Step 2: Convert to fraction form
    5,589.86/7,715.25 = 4,376.16/x
  3. Step 3: Cross multiply
    5,589.86x = 7,715.25 × 4,376.16
  4. Step 4: Simplify right side
    5,589.86x = 33,763,168.44
  5. Step 5: Solve for x
    x = 33,763,168.44/5,589.86
  6. Step 6: Final answer
    x = 6,040.08

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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.