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Finding the Fourth Proportional to 3,770.47, 5,657.42 and 1,307.08

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Solution

The fourth proportional to 3,770.47, 5,657.42 and 1,307.08 is: 1,961.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.47 : 5,657.42 = 1,307.08 : x
  2. Step 2: Convert to fraction form
    3,770.47/5,657.42 = 1,307.08/x
  3. Step 3: Cross multiply
    3,770.47x = 5,657.42 × 1,307.08
  4. Step 4: Simplify right side
    3,770.47x = 7,394,700.53
  5. Step 5: Solve for x
    x = 7,394,700.53/3,770.47
  6. Step 6: Final answer
    x = 1,961.21

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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.