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Finding the Fourth Proportional to 3,849.88, 5,770.02 and 1,656.10

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Solution

The fourth proportional to 3,849.88, 5,770.02 and 1,656.10 is: 2,482.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.88 : 5,770.02 = 1,656.10 : x
  2. Step 2: Convert to fraction form
    3,849.88/5,770.02 = 1,656.10/x
  3. Step 3: Cross multiply
    3,849.88x = 5,770.02 × 1,656.10
  4. Step 4: Simplify right side
    3,849.88x = 9,555,730.12
  5. Step 5: Solve for x
    x = 9,555,730.12/3,849.88
  6. Step 6: Final answer
    x = 2,482.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.