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Finding the Fourth Proportional to 5,914.72, 8,825.69 and 5,294.14

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Solution

The fourth proportional to 5,914.72, 8,825.69 and 5,294.14 is: 7,899.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,914.72 : 8,825.69 = 5,294.14 : x
  2. Step 2: Convert to fraction form
    5,914.72/8,825.69 = 5,294.14/x
  3. Step 3: Cross multiply
    5,914.72x = 8,825.69 × 5,294.14
  4. Step 4: Simplify right side
    5,914.72x = 46,724,438.46
  5. Step 5: Solve for x
    x = 46,724,438.46/5,914.72
  6. Step 6: Final answer
    x = 7,899.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.