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Finding the Fourth Proportional to 4,640.28, 6,941.96 and 4,031.16

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Solution

The fourth proportional to 4,640.28, 6,941.96 and 4,031.16 is: 6,030.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.28 : 6,941.96 = 4,031.16 : x
  2. Step 2: Convert to fraction form
    4,640.28/6,941.96 = 4,031.16/x
  3. Step 3: Cross multiply
    4,640.28x = 6,941.96 × 4,031.16
  4. Step 4: Simplify right side
    4,640.28x = 27,984,151.47
  5. Step 5: Solve for x
    x = 27,984,151.47/4,640.28
  6. Step 6: Final answer
    x = 6,030.70

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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.