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Finding the Fourth Proportional to 5,364.86, 7,403.01 and 3,006.50

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Solution

The fourth proportional to 5,364.86, 7,403.01 and 3,006.50 is: 4,148.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,364.86 : 7,403.01 = 3,006.50 : x
  2. Step 2: Convert to fraction form
    5,364.86/7,403.01 = 3,006.50/x
  3. Step 3: Cross multiply
    5,364.86x = 7,403.01 × 3,006.50
  4. Step 4: Simplify right side
    5,364.86x = 22,257,149.57
  5. Step 5: Solve for x
    x = 22,257,149.57/5,364.86
  6. Step 6: Final answer
    x = 4,148.69

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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.