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Finding the Fourth Proportional to 3,654.42, 5,480.91 and 1,314.36

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Solution

The fourth proportional to 3,654.42, 5,480.91 and 1,314.36 is: 1,971.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.42 : 5,480.91 = 1,314.36 : x
  2. Step 2: Convert to fraction form
    3,654.42/5,480.91 = 1,314.36/x
  3. Step 3: Cross multiply
    3,654.42x = 5,480.91 × 1,314.36
  4. Step 4: Simplify right side
    3,654.42x = 7,203,888.87
  5. Step 5: Solve for x
    x = 7,203,888.87/3,654.42
  6. Step 6: Final answer
    x = 1,971.28

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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.