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Finding the Fourth Proportional to 3,633.64, 5,016.54 and 2,307.40

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Solution

The fourth proportional to 3,633.64, 5,016.54 and 2,307.40 is: 3,185.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.64 : 5,016.54 = 2,307.40 : x
  2. Step 2: Convert to fraction form
    3,633.64/5,016.54 = 2,307.40/x
  3. Step 3: Cross multiply
    3,633.64x = 5,016.54 × 2,307.40
  4. Step 4: Simplify right side
    3,633.64x = 11,575,164.40
  5. Step 5: Solve for x
    x = 11,575,164.40/3,633.64
  6. Step 6: Final answer
    x = 3,185.56

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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.