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Finding the Fourth Proportional to 4,366.72, 6,550 and 1,079.77

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Solution

The fourth proportional to 4,366.72, 6,550 and 1,079.77 is: 1,619.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,366.72 : 6,550 = 1,079.77 : x
  2. Step 2: Convert to fraction form
    4,366.72/6,550 = 1,079.77/x
  3. Step 3: Cross multiply
    4,366.72x = 6,550 × 1,079.77
  4. Step 4: Simplify right side
    4,366.72x = 7,072,493.50
  5. Step 5: Solve for x
    x = 7,072,493.50/4,366.72
  6. Step 6: Final answer
    x = 1,619.64

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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.