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Finding the Fourth Proportional to 3,336.86, 5,003.78 and 1,776.47

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Solution

The fourth proportional to 3,336.86, 5,003.78 and 1,776.47 is: 2,663.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,336.86 : 5,003.78 = 1,776.47 : x
  2. Step 2: Convert to fraction form
    3,336.86/5,003.78 = 1,776.47/x
  3. Step 3: Cross multiply
    3,336.86x = 5,003.78 × 1,776.47
  4. Step 4: Simplify right side
    3,336.86x = 8,889,031.16
  5. Step 5: Solve for x
    x = 8,889,031.16/3,336.86
  6. Step 6: Final answer
    x = 2,663.89

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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.