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Finding the Fourth Proportional to 3,536.72, 5,307 and 1,456.40

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Solution

The fourth proportional to 3,536.72, 5,307 and 1,456.40 is: 2,185.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536.72 : 5,307 = 1,456.40 : x
  2. Step 2: Convert to fraction form
    3,536.72/5,307 = 1,456.40/x
  3. Step 3: Cross multiply
    3,536.72x = 5,307 × 1,456.40
  4. Step 4: Simplify right side
    3,536.72x = 7,729,114.80
  5. Step 5: Solve for x
    x = 7,729,114.80/3,536.72
  6. Step 6: Final answer
    x = 2,185.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.