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Finding the Fourth Proportional to 4,703.15, 6,489.71 and 2,814.29

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Solution

The fourth proportional to 4,703.15, 6,489.71 and 2,814.29 is: 3,883.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.15 : 6,489.71 = 2,814.29 : x
  2. Step 2: Convert to fraction form
    4,703.15/6,489.71 = 2,814.29/x
  3. Step 3: Cross multiply
    4,703.15x = 6,489.71 × 2,814.29
  4. Step 4: Simplify right side
    4,703.15x = 18,263,946.87
  5. Step 5: Solve for x
    x = 18,263,946.87/4,703.15
  6. Step 6: Final answer
    x = 3,883.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.