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Finding the Fourth Proportional to 5,900.98, 8,142.24 and 3,663.40

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Solution

The fourth proportional to 5,900.98, 8,142.24 and 3,663.40 is: 5,054.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,900.98 : 8,142.24 = 3,663.40 : x
  2. Step 2: Convert to fraction form
    5,900.98/8,142.24 = 3,663.40/x
  3. Step 3: Cross multiply
    5,900.98x = 8,142.24 × 3,663.40
  4. Step 4: Simplify right side
    5,900.98x = 29,828,282.02
  5. Step 5: Solve for x
    x = 29,828,282.02/5,900.98
  6. Step 6: Final answer
    x = 5,054.80

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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.