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Finding the Fourth Proportional to 4,543.64, 6,811.20 and 1,772.09

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Solution

The fourth proportional to 4,543.64, 6,811.20 and 1,772.09 is: 2,656.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,543.64 : 6,811.20 = 1,772.09 : x
  2. Step 2: Convert to fraction form
    4,543.64/6,811.20 = 1,772.09/x
  3. Step 3: Cross multiply
    4,543.64x = 6,811.20 × 1,772.09
  4. Step 4: Simplify right side
    4,543.64x = 12,070,059.41
  5. Step 5: Solve for x
    x = 12,070,059.41/4,543.64
  6. Step 6: Final answer
    x = 2,656.47

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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.