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Finding the Fourth Proportional to 3,654.36, 5,483.04 and 1,314.66

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Solution

The fourth proportional to 3,654.36, 5,483.04 and 1,314.66 is: 1,972.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.36 : 5,483.04 = 1,314.66 : x
  2. Step 2: Convert to fraction form
    3,654.36/5,483.04 = 1,314.66/x
  3. Step 3: Cross multiply
    3,654.36x = 5,483.04 × 1,314.66
  4. Step 4: Simplify right side
    3,654.36x = 7,208,333.37
  5. Step 5: Solve for x
    x = 7,208,333.37/3,654.36
  6. Step 6: Final answer
    x = 1,972.53

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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.