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Finding the Fourth Proportional to 4,646.07, 6,414.66 and 3,232.70

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Solution

The fourth proportional to 4,646.07, 6,414.66 and 3,232.70 is: 4,463.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.07 : 6,414.66 = 3,232.70 : x
  2. Step 2: Convert to fraction form
    4,646.07/6,414.66 = 3,232.70/x
  3. Step 3: Cross multiply
    4,646.07x = 6,414.66 × 3,232.70
  4. Step 4: Simplify right side
    4,646.07x = 20,736,681.38
  5. Step 5: Solve for x
    x = 20,736,681.38/4,646.07
  6. Step 6: Final answer
    x = 4,463.27

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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.