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Finding the Fourth Proportional to 3,770.49, 5,655.74 and 1,303.97

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Solution

The fourth proportional to 3,770.49, 5,655.74 and 1,303.97 is: 1,955.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.49 : 5,655.74 = 1,303.97 : x
  2. Step 2: Convert to fraction form
    3,770.49/5,655.74 = 1,303.97/x
  3. Step 3: Cross multiply
    3,770.49x = 5,655.74 × 1,303.97
  4. Step 4: Simplify right side
    3,770.49x = 7,374,880.49
  5. Step 5: Solve for x
    x = 7,374,880.49/3,770.49
  6. Step 6: Final answer
    x = 1,955.95

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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.