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Finding the Fourth Proportional to 5,662.77, 7,818.32 and 3,678.98

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Solution

The fourth proportional to 5,662.77, 7,818.32 and 3,678.98 is: 5,079.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662.77 : 7,818.32 = 3,678.98 : x
  2. Step 2: Convert to fraction form
    5,662.77/7,818.32 = 3,678.98/x
  3. Step 3: Cross multiply
    5,662.77x = 7,818.32 × 3,678.98
  4. Step 4: Simplify right side
    5,662.77x = 28,763,442.91
  5. Step 5: Solve for x
    x = 28,763,442.91/5,662.77
  6. Step 6: Final answer
    x = 5,079.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.