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Finding the Fourth Proportional to 4,270, 5,893.14 and 2,407

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Solution

The fourth proportional to 4,270, 5,893.14 and 2,407 is: 3,321.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,270 : 5,893.14 = 2,407 : x
  2. Step 2: Convert to fraction form
    4,270/5,893.14 = 2,407/x
  3. Step 3: Cross multiply
    4,270x = 5,893.14 × 2,407
  4. Step 4: Simplify right side
    4,270x = 14,184,787.98
  5. Step 5: Solve for x
    x = 14,184,787.98/4,270
  6. Step 6: Final answer
    x = 3,321.96

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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.