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Finding the Fourth Proportional to 5,663.86, 7,816.27 and 3,145.85

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Solution

The fourth proportional to 5,663.86, 7,816.27 and 3,145.85 is: 4,341.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.86 : 7,816.27 = 3,145.85 : x
  2. Step 2: Convert to fraction form
    5,663.86/7,816.27 = 3,145.85/x
  3. Step 3: Cross multiply
    5,663.86x = 7,816.27 × 3,145.85
  4. Step 4: Simplify right side
    5,663.86x = 24,588,832.07
  5. Step 5: Solve for x
    x = 24,588,832.07/5,663.86
  6. Step 6: Final answer
    x = 4,341.35

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