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Finding the Fourth Proportional to 5,264.41, 7,904.40 and 3,520.30

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Solution

The fourth proportional to 5,264.41, 7,904.40 and 3,520.30 is: 5,285.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264.41 : 7,904.40 = 3,520.30 : x
  2. Step 2: Convert to fraction form
    5,264.41/7,904.40 = 3,520.30/x
  3. Step 3: Cross multiply
    5,264.41x = 7,904.40 × 3,520.30
  4. Step 4: Simplify right side
    5,264.41x = 27,825,859.32
  5. Step 5: Solve for x
    x = 27,825,859.32/5,264.41
  6. Step 6: Final answer
    x = 5,285.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.