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Finding the Fourth Proportional to 3,543.94, 4,901.25 and 3,170.26

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Solution

The fourth proportional to 3,543.94, 4,901.25 and 3,170.26 is: 4,384.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.94 : 4,901.25 = 3,170.26 : x
  2. Step 2: Convert to fraction form
    3,543.94/4,901.25 = 3,170.26/x
  3. Step 3: Cross multiply
    3,543.94x = 4,901.25 × 3,170.26
  4. Step 4: Simplify right side
    3,543.94x = 15,538,236.83
  5. Step 5: Solve for x
    x = 15,538,236.83/3,543.94
  6. Step 6: Final answer
    x = 4,384.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.