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Finding the Fourth Proportional to 4,224.50, 6,336.77 and 1,146.50

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Solution

The fourth proportional to 4,224.50, 6,336.77 and 1,146.50 is: 1,719.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,224.50 : 6,336.77 = 1,146.50 : x
  2. Step 2: Convert to fraction form
    4,224.50/6,336.77 = 1,146.50/x
  3. Step 3: Cross multiply
    4,224.50x = 6,336.77 × 1,146.50
  4. Step 4: Simplify right side
    4,224.50x = 7,265,106.81
  5. Step 5: Solve for x
    x = 7,265,106.81/4,224.50
  6. Step 6: Final answer
    x = 1,719.76

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Why These Related Problems?

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