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Finding the Fourth Proportional to 3,364.62, 5,046.12 and 1,415.76

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Solution

The fourth proportional to 3,364.62, 5,046.12 and 1,415.76 is: 2,123.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.62 : 5,046.12 = 1,415.76 : x
  2. Step 2: Convert to fraction form
    3,364.62/5,046.12 = 1,415.76/x
  3. Step 3: Cross multiply
    3,364.62x = 5,046.12 × 1,415.76
  4. Step 4: Simplify right side
    3,364.62x = 7,144,094.85
  5. Step 5: Solve for x
    x = 7,144,094.85/3,364.62
  6. Step 6: Final answer
    x = 2,123.30

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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.