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Finding the Fourth Proportional to 3,415.38, 4,703.31 and 2,967.05

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Solution

The fourth proportional to 3,415.38, 4,703.31 and 2,967.05 is: 4,085.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.38 : 4,703.31 = 2,967.05 : x
  2. Step 2: Convert to fraction form
    3,415.38/4,703.31 = 2,967.05/x
  3. Step 3: Cross multiply
    3,415.38x = 4,703.31 × 2,967.05
  4. Step 4: Simplify right side
    3,415.38x = 13,954,955.94
  5. Step 5: Solve for x
    x = 13,954,955.94/3,415.38
  6. Step 6: Final answer
    x = 4,085.92

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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.