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Finding the Fourth Proportional to 5,762, 8,650.26 and 4,901.78

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Solution

The fourth proportional to 5,762, 8,650.26 and 4,901.78 is: 7,358.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762 : 8,650.26 = 4,901.78 : x
  2. Step 2: Convert to fraction form
    5,762/8,650.26 = 4,901.78/x
  3. Step 3: Cross multiply
    5,762x = 8,650.26 × 4,901.78
  4. Step 4: Simplify right side
    5,762x = 42,401,671.46
  5. Step 5: Solve for x
    x = 42,401,671.46/5,762
  6. Step 6: Final answer
    x = 7,358.85

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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.