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Finding the Fourth Proportional to 3,405.56, 4,699.62 and 2,008.28

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Solution

The fourth proportional to 3,405.56, 4,699.62 and 2,008.28 is: 2,771.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.56 : 4,699.62 = 2,008.28 : x
  2. Step 2: Convert to fraction form
    3,405.56/4,699.62 = 2,008.28/x
  3. Step 3: Cross multiply
    3,405.56x = 4,699.62 × 2,008.28
  4. Step 4: Simplify right side
    3,405.56x = 9,438,152.85
  5. Step 5: Solve for x
    x = 9,438,152.85/3,405.56
  6. Step 6: Final answer
    x = 2,771.40

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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.