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Finding the Fourth Proportional to 5,288.32, 7,294.00 and 3,797.77

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Solution

The fourth proportional to 5,288.32, 7,294.00 and 3,797.77 is: 5,238.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,288.32 : 7,294.00 = 3,797.77 : x
  2. Step 2: Convert to fraction form
    5,288.32/7,294.00 = 3,797.77/x
  3. Step 3: Cross multiply
    5,288.32x = 7,294.00 × 3,797.77
  4. Step 4: Simplify right side
    5,288.32x = 27,700,938.13
  5. Step 5: Solve for x
    x = 27,700,938.13/5,288.32
  6. Step 6: Final answer
    x = 5,238.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.