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Finding the Fourth Proportional to 4,713.57, 6,489.81 and 3,590.91

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Solution

The fourth proportional to 4,713.57, 6,489.81 and 3,590.91 is: 4,944.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.57 : 6,489.81 = 3,590.91 : x
  2. Step 2: Convert to fraction form
    4,713.57/6,489.81 = 3,590.91/x
  3. Step 3: Cross multiply
    4,713.57x = 6,489.81 × 3,590.91
  4. Step 4: Simplify right side
    4,713.57x = 23,304,323.63
  5. Step 5: Solve for x
    x = 23,304,323.63/4,713.57
  6. Step 6: Final answer
    x = 4,944.09

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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.