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Finding the Fourth Proportional to 3,653.15, 5,478.73 and 1,020.02

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Solution

The fourth proportional to 3,653.15, 5,478.73 and 1,020.02 is: 1,529.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.15 : 5,478.73 = 1,020.02 : x
  2. Step 2: Convert to fraction form
    3,653.15/5,478.73 = 1,020.02/x
  3. Step 3: Cross multiply
    3,653.15x = 5,478.73 × 1,020.02
  4. Step 4: Simplify right side
    3,653.15x = 5,588,414.17
  5. Step 5: Solve for x
    x = 5,588,414.17/3,653.15
  6. Step 6: Final answer
    x = 1,529.75

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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.