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Finding the Fourth Proportional to 5,328.94, 7,354.13 and 2,971.53

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Solution

The fourth proportional to 5,328.94, 7,354.13 and 2,971.53 is: 4,100.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,328.94 : 7,354.13 = 2,971.53 : x
  2. Step 2: Convert to fraction form
    5,328.94/7,354.13 = 2,971.53/x
  3. Step 3: Cross multiply
    5,328.94x = 7,354.13 × 2,971.53
  4. Step 4: Simplify right side
    5,328.94x = 21,853,043.73
  5. Step 5: Solve for x
    x = 21,853,043.73/5,328.94
  6. Step 6: Final answer
    x = 4,100.83

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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.