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Finding the Fourth Proportional to 5,102.46, 7,653.42 and 1,404.95

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Solution

The fourth proportional to 5,102.46, 7,653.42 and 1,404.95 is: 2,107.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.46 : 7,653.42 = 1,404.95 : x
  2. Step 2: Convert to fraction form
    5,102.46/7,653.42 = 1,404.95/x
  3. Step 3: Cross multiply
    5,102.46x = 7,653.42 × 1,404.95
  4. Step 4: Simplify right side
    5,102.46x = 10,752,634.16
  5. Step 5: Solve for x
    x = 10,752,634.16/5,102.46
  6. Step 6: Final answer
    x = 2,107.34

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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.