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Finding the Fourth Proportional to 4,707.82, 7,062.64 and 2,074.31

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Solution

The fourth proportional to 4,707.82, 7,062.64 and 2,074.31 is: 3,111.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.82 : 7,062.64 = 2,074.31 : x
  2. Step 2: Convert to fraction form
    4,707.82/7,062.64 = 2,074.31/x
  3. Step 3: Cross multiply
    4,707.82x = 7,062.64 × 2,074.31
  4. Step 4: Simplify right side
    4,707.82x = 14,650,102.43
  5. Step 5: Solve for x
    x = 14,650,102.43/4,707.82
  6. Step 6: Final answer
    x = 3,111.86

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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.