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Finding the Fourth Proportional to 5,665.41, 7,818.44 and 3,427.70

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Solution

The fourth proportional to 5,665.41, 7,818.44 and 3,427.70 is: 4,730.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665.41 : 7,818.44 = 3,427.70 : x
  2. Step 2: Convert to fraction form
    5,665.41/7,818.44 = 3,427.70/x
  3. Step 3: Cross multiply
    5,665.41x = 7,818.44 × 3,427.70
  4. Step 4: Simplify right side
    5,665.41x = 26,799,210.56
  5. Step 5: Solve for x
    x = 26,799,210.56/5,665.41
  6. Step 6: Final answer
    x = 4,730.32

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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.