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Finding the Fourth Proportional to 3,663.98, 5,056.28 and 1,985.43

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Solution

The fourth proportional to 3,663.98, 5,056.28 and 1,985.43 is: 2,739.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.98 : 5,056.28 = 1,985.43 : x
  2. Step 2: Convert to fraction form
    3,663.98/5,056.28 = 1,985.43/x
  3. Step 3: Cross multiply
    3,663.98x = 5,056.28 × 1,985.43
  4. Step 4: Simplify right side
    3,663.98x = 10,038,890.00
  5. Step 5: Solve for x
    x = 10,038,890.00/3,663.98
  6. Step 6: Final answer
    x = 2,739.89

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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.