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Finding the Fourth Proportional to 4,126, 5,693.96 and 2,470

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Solution

The fourth proportional to 4,126, 5,693.96 and 2,470 is: 3,408.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,126 : 5,693.96 = 2,470 : x
  2. Step 2: Convert to fraction form
    4,126/5,693.96 = 2,470/x
  3. Step 3: Cross multiply
    4,126x = 5,693.96 × 2,470
  4. Step 4: Simplify right side
    4,126x = 14,064,081.20
  5. Step 5: Solve for x
    x = 14,064,081.20/4,126
  6. Step 6: Final answer
    x = 3,408.65

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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.