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Finding the Fourth Proportional to 4,016, 6,026.43 and 1,707.50

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Solution

The fourth proportional to 4,016, 6,026.43 and 1,707.50 is: 2,562.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,016 : 6,026.43 = 1,707.50 : x
  2. Step 2: Convert to fraction form
    4,016/6,026.43 = 1,707.50/x
  3. Step 3: Cross multiply
    4,016x = 6,026.43 × 1,707.50
  4. Step 4: Simplify right side
    4,016x = 10,290,129.23
  5. Step 5: Solve for x
    x = 10,290,129.23/4,016
  6. Step 6: Final answer
    x = 2,562.28

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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.