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Finding the Fourth Proportional to 3,646.55, 5,470.37 and 1,424.95

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Solution

The fourth proportional to 3,646.55, 5,470.37 and 1,424.95 is: 2,137.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.55 : 5,470.37 = 1,424.95 : x
  2. Step 2: Convert to fraction form
    3,646.55/5,470.37 = 1,424.95/x
  3. Step 3: Cross multiply
    3,646.55x = 5,470.37 × 1,424.95
  4. Step 4: Simplify right side
    3,646.55x = 7,795,003.73
  5. Step 5: Solve for x
    x = 7,795,003.73/3,646.55
  6. Step 6: Final answer
    x = 2,137.64

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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.