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Finding the Fourth Proportional to 3,427.57, 4,730.04 and 1,935.80

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Solution

The fourth proportional to 3,427.57, 4,730.04 and 1,935.80 is: 2,671.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.57 : 4,730.04 = 1,935.80 : x
  2. Step 2: Convert to fraction form
    3,427.57/4,730.04 = 1,935.80/x
  3. Step 3: Cross multiply
    3,427.57x = 4,730.04 × 1,935.80
  4. Step 4: Simplify right side
    3,427.57x = 9,156,411.43
  5. Step 5: Solve for x
    x = 9,156,411.43/3,427.57
  6. Step 6: Final answer
    x = 2,671.40

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Why These Related Problems?

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