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Finding the Fourth Proportional to 6,076.74, 8,385.74 and 3,424

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Solution

The fourth proportional to 6,076.74, 8,385.74 and 3,424 is: 4,725.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,076.74 : 8,385.74 = 3,424 : x
  2. Step 2: Convert to fraction form
    6,076.74/8,385.74 = 3,424/x
  3. Step 3: Cross multiply
    6,076.74x = 8,385.74 × 3,424
  4. Step 4: Simplify right side
    6,076.74x = 28,712,773.76
  5. Step 5: Solve for x
    x = 28,712,773.76/6,076.74
  6. Step 6: Final answer
    x = 4,725.03

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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.