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Finding the Fourth Proportional to 5,364.43, 7,403.00 and 2,974.50

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Solution

The fourth proportional to 5,364.43, 7,403.00 and 2,974.50 is: 4,104.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,364.43 : 7,403.00 = 2,974.50 : x
  2. Step 2: Convert to fraction form
    5,364.43/7,403.00 = 2,974.50/x
  3. Step 3: Cross multiply
    5,364.43x = 7,403.00 × 2,974.50
  4. Step 4: Simplify right side
    5,364.43x = 22,020,263.35
  5. Step 5: Solve for x
    x = 22,020,263.35/5,364.43
  6. Step 6: Final answer
    x = 4,104.86

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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.