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Finding the Fourth Proportional to 3,503.71, 5,250.70 and 1,770.31

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Solution

The fourth proportional to 3,503.71, 5,250.70 and 1,770.31 is: 2,653.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503.71 : 5,250.70 = 1,770.31 : x
  2. Step 2: Convert to fraction form
    3,503.71/5,250.70 = 1,770.31/x
  3. Step 3: Cross multiply
    3,503.71x = 5,250.70 × 1,770.31
  4. Step 4: Simplify right side
    3,503.71x = 9,295,366.72
  5. Step 5: Solve for x
    x = 9,295,366.72/3,503.71
  6. Step 6: Final answer
    x = 2,653.01

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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.