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Finding the Fourth Proportional to 5,807.69, 8,010.96 and 4,631.57

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Solution

The fourth proportional to 5,807.69, 8,010.96 and 4,631.57 is: 6,388.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.69 : 8,010.96 = 4,631.57 : x
  2. Step 2: Convert to fraction form
    5,807.69/8,010.96 = 4,631.57/x
  3. Step 3: Cross multiply
    5,807.69x = 8,010.96 × 4,631.57
  4. Step 4: Simplify right side
    5,807.69x = 37,103,322.01
  5. Step 5: Solve for x
    x = 37,103,322.01/5,807.69
  6. Step 6: Final answer
    x = 6,388.65

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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.