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Finding the Fourth Proportional to 5,693.07, 7,853.67 and 4,431.90

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Solution

The fourth proportional to 5,693.07, 7,853.67 and 4,431.90 is: 6,113.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.07 : 7,853.67 = 4,431.90 : x
  2. Step 2: Convert to fraction form
    5,693.07/7,853.67 = 4,431.90/x
  3. Step 3: Cross multiply
    5,693.07x = 7,853.67 × 4,431.90
  4. Step 4: Simplify right side
    5,693.07x = 34,806,680.07
  5. Step 5: Solve for x
    x = 34,806,680.07/5,693.07
  6. Step 6: Final answer
    x = 6,113.87

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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.