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Finding the Fourth Proportional to 3,427.57, 4,730.26 and 1,934.94

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Solution

The fourth proportional to 3,427.57, 4,730.26 and 1,934.94 is: 2,670.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.57 : 4,730.26 = 1,934.94 : x
  2. Step 2: Convert to fraction form
    3,427.57/4,730.26 = 1,934.94/x
  3. Step 3: Cross multiply
    3,427.57x = 4,730.26 × 1,934.94
  4. Step 4: Simplify right side
    3,427.57x = 9,152,769.28
  5. Step 5: Solve for x
    x = 9,152,769.28/3,427.57
  6. Step 6: Final answer
    x = 2,670.34

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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.