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Finding the Fourth Proportional to 4,661.73, 6,432.13 and 3,403.47

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Solution

The fourth proportional to 4,661.73, 6,432.13 and 3,403.47 is: 4,696.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.73 : 6,432.13 = 3,403.47 : x
  2. Step 2: Convert to fraction form
    4,661.73/6,432.13 = 3,403.47/x
  3. Step 3: Cross multiply
    4,661.73x = 6,432.13 × 3,403.47
  4. Step 4: Simplify right side
    4,661.73x = 21,891,561.49
  5. Step 5: Solve for x
    x = 21,891,561.49/4,661.73
  6. Step 6: Final answer
    x = 4,696.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.