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Finding the Fourth Proportional to 4,672.38, 6,448.34 and 3,491.40

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Solution

The fourth proportional to 4,672.38, 6,448.34 and 3,491.40 is: 4,818.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.38 : 6,448.34 = 3,491.40 : x
  2. Step 2: Convert to fraction form
    4,672.38/6,448.34 = 3,491.40/x
  3. Step 3: Cross multiply
    4,672.38x = 6,448.34 × 3,491.40
  4. Step 4: Simplify right side
    4,672.38x = 22,513,734.28
  5. Step 5: Solve for x
    x = 22,513,734.28/4,672.38
  6. Step 6: Final answer
    x = 4,818.47

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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.