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Finding the Fourth Proportional to 3,520.94, 5,282.10 and 1,573.13

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Solution

The fourth proportional to 3,520.94, 5,282.10 and 1,573.13 is: 2,360.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,520.94 : 5,282.10 = 1,573.13 : x
  2. Step 2: Convert to fraction form
    3,520.94/5,282.10 = 1,573.13/x
  3. Step 3: Cross multiply
    3,520.94x = 5,282.10 × 1,573.13
  4. Step 4: Simplify right side
    3,520.94x = 8,309,443.18
  5. Step 5: Solve for x
    x = 8,309,443.18/3,520.94
  6. Step 6: Final answer
    x = 2,360.01

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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.