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Finding the Fourth Proportional to 5,685.14, 7,830.32 and 4,939.94

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Solution

The fourth proportional to 5,685.14, 7,830.32 and 4,939.94 is: 6,803.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685.14 : 7,830.32 = 4,939.94 : x
  2. Step 2: Convert to fraction form
    5,685.14/7,830.32 = 4,939.94/x
  3. Step 3: Cross multiply
    5,685.14x = 7,830.32 × 4,939.94
  4. Step 4: Simplify right side
    5,685.14x = 38,681,286.28
  5. Step 5: Solve for x
    x = 38,681,286.28/5,685.14
  6. Step 6: Final answer
    x = 6,803.93

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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.