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Finding the Fourth Proportional to 3,710, 5,118.38 and 2,451.66

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Solution

The fourth proportional to 3,710, 5,118.38 and 2,451.66 is: 3,382.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710 : 5,118.38 = 2,451.66 : x
  2. Step 2: Convert to fraction form
    3,710/5,118.38 = 2,451.66/x
  3. Step 3: Cross multiply
    3,710x = 5,118.38 × 2,451.66
  4. Step 4: Simplify right side
    3,710x = 12,548,527.51
  5. Step 5: Solve for x
    x = 12,548,527.51/3,710
  6. Step 6: Final answer
    x = 3,382.35

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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.