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Finding the Fourth Proportional to 7,302.50, 10,957.20 and 3,790.64

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Solution

The fourth proportional to 7,302.50, 10,957.20 and 3,790.64 is: 5,687.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,302.50 : 10,957.20 = 3,790.64 : x
  2. Step 2: Convert to fraction form
    7,302.50/10,957.20 = 3,790.64/x
  3. Step 3: Cross multiply
    7,302.50x = 10,957.20 × 3,790.64
  4. Step 4: Simplify right side
    7,302.50x = 41,534,726.87
  5. Step 5: Solve for x
    x = 41,534,726.87/7,302.50
  6. Step 6: Final answer
    x = 5,687.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.