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Finding the Fourth Proportional to 6,076, 8,385.49 and 3,717.69

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Solution

The fourth proportional to 6,076, 8,385.49 and 3,717.69 is: 5,130.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,076 : 8,385.49 = 3,717.69 : x
  2. Step 2: Convert to fraction form
    6,076/8,385.49 = 3,717.69/x
  3. Step 3: Cross multiply
    6,076x = 8,385.49 × 3,717.69
  4. Step 4: Simplify right side
    6,076x = 31,174,652.32
  5. Step 5: Solve for x
    x = 31,174,652.32/6,076
  6. Step 6: Final answer
    x = 5,130.79

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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.