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Finding the Fourth Proportional to 3,364.86, 5,048.10 and 1,056.36

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Solution

The fourth proportional to 3,364.86, 5,048.10 and 1,056.36 is: 1,584.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.86 : 5,048.10 = 1,056.36 : x
  2. Step 2: Convert to fraction form
    3,364.86/5,048.10 = 1,056.36/x
  3. Step 3: Cross multiply
    3,364.86x = 5,048.10 × 1,056.36
  4. Step 4: Simplify right side
    3,364.86x = 5,332,610.92
  5. Step 5: Solve for x
    x = 5,332,610.92/3,364.86
  6. Step 6: Final answer
    x = 1,584.79

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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.