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Finding the Fourth Proportional to 3,518.48, 5,277.62 and 921.42

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Solution

The fourth proportional to 3,518.48, 5,277.62 and 921.42 is: 1,382.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,518.48 : 5,277.62 = 921.42 : x
  2. Step 2: Convert to fraction form
    3,518.48/5,277.62 = 921.42/x
  3. Step 3: Cross multiply
    3,518.48x = 5,277.62 × 921.42
  4. Step 4: Simplify right side
    3,518.48x = 4,862,904.62
  5. Step 5: Solve for x
    x = 4,862,904.62/3,518.48
  6. Step 6: Final answer
    x = 1,382.10

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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.