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Finding the Fourth Proportional to 5,603.38, 7,727.61 and 4,817.14

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Solution

The fourth proportional to 5,603.38, 7,727.61 and 4,817.14 is: 6,643.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,603.38 : 7,727.61 = 4,817.14 : x
  2. Step 2: Convert to fraction form
    5,603.38/7,727.61 = 4,817.14/x
  3. Step 3: Cross multiply
    5,603.38x = 7,727.61 × 4,817.14
  4. Step 4: Simplify right side
    5,603.38x = 37,224,979.24
  5. Step 5: Solve for x
    x = 37,224,979.24/5,603.38
  6. Step 6: Final answer
    x = 6,643.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.