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Finding the Fourth Proportional to 5,327.66, 7,352.16 and 2,969.66

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Solution

The fourth proportional to 5,327.66, 7,352.16 and 2,969.66 is: 4,098.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,327.66 : 7,352.16 = 2,969.66 : x
  2. Step 2: Convert to fraction form
    5,327.66/7,352.16 = 2,969.66/x
  3. Step 3: Cross multiply
    5,327.66x = 7,352.16 × 2,969.66
  4. Step 4: Simplify right side
    5,327.66x = 21,833,415.47
  5. Step 5: Solve for x
    x = 21,833,415.47/5,327.66
  6. Step 6: Final answer
    x = 4,098.12

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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.