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Finding the Fourth Proportional to 3,770.02, 5,656.42 and 1,305.10

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Solution

The fourth proportional to 3,770.02, 5,656.42 and 1,305.10 is: 1,958.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.02 : 5,656.42 = 1,305.10 : x
  2. Step 2: Convert to fraction form
    3,770.02/5,656.42 = 1,305.10/x
  3. Step 3: Cross multiply
    3,770.02x = 5,656.42 × 1,305.10
  4. Step 4: Simplify right side
    3,770.02x = 7,382,193.74
  5. Step 5: Solve for x
    x = 7,382,193.74/3,770.02
  6. Step 6: Final answer
    x = 1,958.13

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