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Finding the Fourth Proportional to 5,814.86, 8,024.81 and 5,605.74

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Solution

The fourth proportional to 5,814.86, 8,024.81 and 5,605.74 is: 7,736.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,814.86 : 8,024.81 = 5,605.74 : x
  2. Step 2: Convert to fraction form
    5,814.86/8,024.81 = 5,605.74/x
  3. Step 3: Cross multiply
    5,814.86x = 8,024.81 × 5,605.74
  4. Step 4: Simplify right side
    5,814.86x = 44,984,970.38
  5. Step 5: Solve for x
    x = 44,984,970.38/5,814.86
  6. Step 6: Final answer
    x = 7,736.22

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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.