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Finding the Fourth Proportional to 5,630.26, 7,765.04 and 4,119.70

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Solution

The fourth proportional to 5,630.26, 7,765.04 and 4,119.70 is: 5,681.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,630.26 : 7,765.04 = 4,119.70 : x
  2. Step 2: Convert to fraction form
    5,630.26/7,765.04 = 4,119.70/x
  3. Step 3: Cross multiply
    5,630.26x = 7,765.04 × 4,119.70
  4. Step 4: Simplify right side
    5,630.26x = 31,989,635.29
  5. Step 5: Solve for x
    x = 31,989,635.29/5,630.26
  6. Step 6: Final answer
    x = 5,681.73

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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.