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Finding the Fourth Proportional to 3,403.95, 4,697.37 and 2,006.70

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Solution

The fourth proportional to 3,403.95, 4,697.37 and 2,006.70 is: 2,769.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.95 : 4,697.37 = 2,006.70 : x
  2. Step 2: Convert to fraction form
    3,403.95/4,697.37 = 2,006.70/x
  3. Step 3: Cross multiply
    3,403.95x = 4,697.37 × 2,006.70
  4. Step 4: Simplify right side
    3,403.95x = 9,426,212.38
  5. Step 5: Solve for x
    x = 9,426,212.38/3,403.95
  6. Step 6: Final answer
    x = 2,769.20

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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.