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Finding the Fourth Proportional to 4,889.61, 7,328.03 and 1,964.52

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Solution

The fourth proportional to 4,889.61, 7,328.03 and 1,964.52 is: 2,944.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,889.61 : 7,328.03 = 1,964.52 : x
  2. Step 2: Convert to fraction form
    4,889.61/7,328.03 = 1,964.52/x
  3. Step 3: Cross multiply
    4,889.61x = 7,328.03 × 1,964.52
  4. Step 4: Simplify right side
    4,889.61x = 14,396,051.67
  5. Step 5: Solve for x
    x = 14,396,051.67/4,889.61
  6. Step 6: Final answer
    x = 2,944.21

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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.