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Finding the Fourth Proportional to 5,305.84, 7,961 and 2,840

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Solution

The fourth proportional to 5,305.84, 7,961 and 2,840 is: 4,261.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.84 : 7,961 = 2,840 : x
  2. Step 2: Convert to fraction form
    5,305.84/7,961 = 2,840/x
  3. Step 3: Cross multiply
    5,305.84x = 7,961 × 2,840
  4. Step 4: Simplify right side
    5,305.84x = 22,609,240
  5. Step 5: Solve for x
    x = 22,609,240/5,305.84
  6. Step 6: Final answer
    x = 4,261.20

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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.