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Finding the Fourth Proportional to 5,663.78, 8,495.98 and 2,377

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Solution

The fourth proportional to 5,663.78, 8,495.98 and 2,377 is: 3,565.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.78 : 8,495.98 = 2,377 : x
  2. Step 2: Convert to fraction form
    5,663.78/8,495.98 = 2,377/x
  3. Step 3: Cross multiply
    5,663.78x = 8,495.98 × 2,377
  4. Step 4: Simplify right side
    5,663.78x = 20,194,944.46
  5. Step 5: Solve for x
    x = 20,194,944.46/5,663.78
  6. Step 6: Final answer
    x = 3,565.63

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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.