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Finding the Fourth Proportional to 4,295.97, 6,443.01 and 1,484.64

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Solution

The fourth proportional to 4,295.97, 6,443.01 and 1,484.64 is: 2,226.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,295.97 : 6,443.01 = 1,484.64 : x
  2. Step 2: Convert to fraction form
    4,295.97/6,443.01 = 1,484.64/x
  3. Step 3: Cross multiply
    4,295.97x = 6,443.01 × 1,484.64
  4. Step 4: Simplify right side
    4,295.97x = 9,565,550.37
  5. Step 5: Solve for x
    x = 9,565,550.37/4,295.97
  6. Step 6: Final answer
    x = 2,226.63

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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.