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Finding the Fourth Proportional to 5,663.40, 8,495.06 and 2,331.63

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Solution

The fourth proportional to 5,663.40, 8,495.06 and 2,331.63 is: 3,497.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.40 : 8,495.06 = 2,331.63 : x
  2. Step 2: Convert to fraction form
    5,663.40/8,495.06 = 2,331.63/x
  3. Step 3: Cross multiply
    5,663.40x = 8,495.06 × 2,331.63
  4. Step 4: Simplify right side
    5,663.40x = 19,807,325.09
  5. Step 5: Solve for x
    x = 19,807,325.09/5,663.40
  6. Step 6: Final answer
    x = 3,497.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.