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Finding the Fourth Proportional to 5,693.10, 7,853.67 and 4,905.78

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Solution

The fourth proportional to 5,693.10, 7,853.67 and 4,905.78 is: 6,767.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.10 : 7,853.67 = 4,905.78 : x
  2. Step 2: Convert to fraction form
    5,693.10/7,853.67 = 4,905.78/x
  3. Step 3: Cross multiply
    5,693.10x = 7,853.67 × 4,905.78
  4. Step 4: Simplify right side
    5,693.10x = 38,528,377.21
  5. Step 5: Solve for x
    x = 38,528,377.21/5,693.10
  6. Step 6: Final answer
    x = 6,767.56

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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.