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Finding the Fourth Proportional to 5,783.86, 8,663.19 and 3,002.14

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Solution

The fourth proportional to 5,783.86, 8,663.19 and 3,002.14 is: 4,496.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.86 : 8,663.19 = 3,002.14 : x
  2. Step 2: Convert to fraction form
    5,783.86/8,663.19 = 3,002.14/x
  3. Step 3: Cross multiply
    5,783.86x = 8,663.19 × 3,002.14
  4. Step 4: Simplify right side
    5,783.86x = 26,008,109.23
  5. Step 5: Solve for x
    x = 26,008,109.23/5,783.86
  6. Step 6: Final answer
    x = 4,496.67

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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.