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Finding the Fourth Proportional to 3,903.21, 5,385.56 and 2,331

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Solution

The fourth proportional to 3,903.21, 5,385.56 and 2,331 is: 3,216.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903.21 : 5,385.56 = 2,331 : x
  2. Step 2: Convert to fraction form
    3,903.21/5,385.56 = 2,331/x
  3. Step 3: Cross multiply
    3,903.21x = 5,385.56 × 2,331
  4. Step 4: Simplify right side
    3,903.21x = 12,553,728.71
  5. Step 5: Solve for x
    x = 12,553,728.71/3,903.21
  6. Step 6: Final answer
    x = 3,216.26

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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.