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Finding the Fourth Proportional to 7,295.32, 10,946.22 and 3,399.40

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Solution

The fourth proportional to 7,295.32, 10,946.22 and 3,399.40 is: 5,100.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,295.32 : 10,946.22 = 3,399.40 : x
  2. Step 2: Convert to fraction form
    7,295.32/10,946.22 = 3,399.40/x
  3. Step 3: Cross multiply
    7,295.32x = 10,946.22 × 3,399.40
  4. Step 4: Simplify right side
    7,295.32x = 37,210,580.27
  5. Step 5: Solve for x
    x = 37,210,580.27/7,295.32
  6. Step 6: Final answer
    x = 5,100.61

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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.