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Finding the Fourth Proportional to 3,087.86, 4,632.03 and 1,007.82

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Solution

The fourth proportional to 3,087.86, 4,632.03 and 1,007.82 is: 1,511.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,087.86 : 4,632.03 = 1,007.82 : x
  2. Step 2: Convert to fraction form
    3,087.86/4,632.03 = 1,007.82/x
  3. Step 3: Cross multiply
    3,087.86x = 4,632.03 × 1,007.82
  4. Step 4: Simplify right side
    3,087.86x = 4,668,252.47
  5. Step 5: Solve for x
    x = 4,668,252.47/3,087.86
  6. Step 6: Final answer
    x = 1,511.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.