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Finding the Fourth Proportional to 5,778.30, 8,668.26 and 4,692

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Solution

The fourth proportional to 5,778.30, 8,668.26 and 4,692 is: 7,038.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.30 : 8,668.26 = 4,692 : x
  2. Step 2: Convert to fraction form
    5,778.30/8,668.26 = 4,692/x
  3. Step 3: Cross multiply
    5,778.30x = 8,668.26 × 4,692
  4. Step 4: Simplify right side
    5,778.30x = 40,671,475.92
  5. Step 5: Solve for x
    x = 40,671,475.92/5,778.30
  6. Step 6: Final answer
    x = 7,038.66

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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.