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Finding the Fourth Proportional to 4,711.91, 6,499.44 and 3,590.46

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Solution

The fourth proportional to 4,711.91, 6,499.44 and 3,590.46 is: 4,952.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711.91 : 6,499.44 = 3,590.46 : x
  2. Step 2: Convert to fraction form
    4,711.91/6,499.44 = 3,590.46/x
  3. Step 3: Cross multiply
    4,711.91x = 6,499.44 × 3,590.46
  4. Step 4: Simplify right side
    4,711.91x = 23,335,979.34
  5. Step 5: Solve for x
    x = 23,335,979.34/4,711.91
  6. Step 6: Final answer
    x = 4,952.56

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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.