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Finding the Fourth Proportional to 5,677.84, 7,833.13 and 3,580.75

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Solution

The fourth proportional to 5,677.84, 7,833.13 and 3,580.75 is: 4,939.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.84 : 7,833.13 = 3,580.75 : x
  2. Step 2: Convert to fraction form
    5,677.84/7,833.13 = 3,580.75/x
  3. Step 3: Cross multiply
    5,677.84x = 7,833.13 × 3,580.75
  4. Step 4: Simplify right side
    5,677.84x = 28,048,480.25
  5. Step 5: Solve for x
    x = 28,048,480.25/5,677.84
  6. Step 6: Final answer
    x = 4,939.99

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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.