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Finding the Fourth Proportional to 3,770.81, 5,657.75 and 1,307.36

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Solution

The fourth proportional to 3,770.81, 5,657.75 and 1,307.36 is: 1,961.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.81 : 5,657.75 = 1,307.36 : x
  2. Step 2: Convert to fraction form
    3,770.81/5,657.75 = 1,307.36/x
  3. Step 3: Cross multiply
    3,770.81x = 5,657.75 × 1,307.36
  4. Step 4: Simplify right side
    3,770.81x = 7,396,681.21
  5. Step 5: Solve for x
    x = 7,396,681.21/3,770.81
  6. Step 6: Final answer
    x = 1,961.57

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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.