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Finding the Fourth Proportional to 4,662.42, 6,959.83 and 4,047.86

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Solution

The fourth proportional to 4,662.42, 6,959.83 and 4,047.86 is: 6,042.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.42 : 6,959.83 = 4,047.86 : x
  2. Step 2: Convert to fraction form
    4,662.42/6,959.83 = 4,047.86/x
  3. Step 3: Cross multiply
    4,662.42x = 6,959.83 × 4,047.86
  4. Step 4: Simplify right side
    4,662.42x = 28,172,397.22
  5. Step 5: Solve for x
    x = 28,172,397.22/4,662.42
  6. Step 6: Final answer
    x = 6,042.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.