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Finding the Fourth Proportional to 3,901, 5,385.96 and 2,411.10

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Solution

The fourth proportional to 3,901, 5,385.96 and 2,411.10 is: 3,328.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901 : 5,385.96 = 2,411.10 : x
  2. Step 2: Convert to fraction form
    3,901/5,385.96 = 2,411.10/x
  3. Step 3: Cross multiply
    3,901x = 5,385.96 × 2,411.10
  4. Step 4: Simplify right side
    3,901x = 12,986,088.16
  5. Step 5: Solve for x
    x = 12,986,088.16/3,901
  6. Step 6: Final answer
    x = 3,328.91

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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.