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Finding the Fourth Proportional to 3,406.08, 4,700.52 and 2,080.38

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Solution

The fourth proportional to 3,406.08, 4,700.52 and 2,080.38 is: 2,871.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.08 : 4,700.52 = 2,080.38 : x
  2. Step 2: Convert to fraction form
    3,406.08/4,700.52 = 2,080.38/x
  3. Step 3: Cross multiply
    3,406.08x = 4,700.52 × 2,080.38
  4. Step 4: Simplify right side
    3,406.08x = 9,778,867.80
  5. Step 5: Solve for x
    x = 9,778,867.80/3,406.08
  6. Step 6: Final answer
    x = 2,871.00

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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.