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Finding the Fourth Proportional to 4,543.17, 6,816.83 and 4,108.47

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Solution

The fourth proportional to 4,543.17, 6,816.83 and 4,108.47 is: 6,164.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,543.17 : 6,816.83 = 4,108.47 : x
  2. Step 2: Convert to fraction form
    4,543.17/6,816.83 = 4,108.47/x
  3. Step 3: Cross multiply
    4,543.17x = 6,816.83 × 4,108.47
  4. Step 4: Simplify right side
    4,543.17x = 28,006,721.01
  5. Step 5: Solve for x
    x = 28,006,721.01/4,543.17
  6. Step 6: Final answer
    x = 6,164.58

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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.