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Finding the Fourth Proportional to 4,270.52, 6,406.98 and 3,101.68

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Solution

The fourth proportional to 4,270.52, 6,406.98 and 3,101.68 is: 4,653.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,270.52 : 6,406.98 = 3,101.68 : x
  2. Step 2: Convert to fraction form
    4,270.52/6,406.98 = 3,101.68/x
  3. Step 3: Cross multiply
    4,270.52x = 6,406.98 × 3,101.68
  4. Step 4: Simplify right side
    4,270.52x = 19,872,401.73
  5. Step 5: Solve for x
    x = 19,872,401.73/4,270.52
  6. Step 6: Final answer
    x = 4,653.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.