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Finding the Fourth Proportional to 3,405.86, 4,700.88 and 2,009.42

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Solution

The fourth proportional to 3,405.86, 4,700.88 and 2,009.42 is: 2,773.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.86 : 4,700.88 = 2,009.42 : x
  2. Step 2: Convert to fraction form
    3,405.86/4,700.88 = 2,009.42/x
  3. Step 3: Cross multiply
    3,405.86x = 4,700.88 × 2,009.42
  4. Step 4: Simplify right side
    3,405.86x = 9,446,042.29
  5. Step 5: Solve for x
    x = 9,446,042.29/3,405.86
  6. Step 6: Final answer
    x = 2,773.47

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1.5x scale

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.