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Finding the Fourth Proportional to 3,695.64, 5,101.02 and 2,203.08

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Solution

The fourth proportional to 3,695.64, 5,101.02 and 2,203.08 is: 3,040.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.64 : 5,101.02 = 2,203.08 : x
  2. Step 2: Convert to fraction form
    3,695.64/5,101.02 = 2,203.08/x
  3. Step 3: Cross multiply
    3,695.64x = 5,101.02 × 2,203.08
  4. Step 4: Simplify right side
    3,695.64x = 11,237,955.14
  5. Step 5: Solve for x
    x = 11,237,955.14/3,695.64
  6. Step 6: Final answer
    x = 3,040.87

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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.