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Finding the Fourth Proportional to 5,323.86, 7,347.15 and 2,966

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Solution

The fourth proportional to 5,323.86, 7,347.15 and 2,966 is: 4,093.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,323.86 : 7,347.15 = 2,966 : x
  2. Step 2: Convert to fraction form
    5,323.86/7,347.15 = 2,966/x
  3. Step 3: Cross multiply
    5,323.86x = 7,347.15 × 2,966
  4. Step 4: Simplify right side
    5,323.86x = 21,791,646.90
  5. Step 5: Solve for x
    x = 21,791,646.90/5,323.86
  6. Step 6: Final answer
    x = 4,093.20

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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.