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Finding the Fourth Proportional to 3,406.16, 4,700.63 and 2,062.20

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Solution

The fourth proportional to 3,406.16, 4,700.63 and 2,062.20 is: 2,845.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.16 : 4,700.63 = 2,062.20 : x
  2. Step 2: Convert to fraction form
    3,406.16/4,700.63 = 2,062.20/x
  3. Step 3: Cross multiply
    3,406.16x = 4,700.63 × 2,062.20
  4. Step 4: Simplify right side
    3,406.16x = 9,693,661.97
  5. Step 5: Solve for x
    x = 9,693,661.97/3,406.16
  6. Step 6: Final answer
    x = 2,845.92

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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.