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Finding the Fourth Proportional to 3,663.58, 5,055.75 and 1,985

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Solution

The fourth proportional to 3,663.58, 5,055.75 and 1,985 is: 2,739.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.58 : 5,055.75 = 1,985 : x
  2. Step 2: Convert to fraction form
    3,663.58/5,055.75 = 1,985/x
  3. Step 3: Cross multiply
    3,663.58x = 5,055.75 × 1,985
  4. Step 4: Simplify right side
    3,663.58x = 10,035,653.83
  5. Step 5: Solve for x
    x = 10,035,653.83/3,663.58
  6. Step 6: Final answer
    x = 2,739.30

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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.