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Finding the Fourth Proportional to 5,049.71, 7,577.72 and 1,929.98

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Solution

The fourth proportional to 5,049.71, 7,577.72 and 1,929.98 is: 2,896.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,049.71 : 7,577.72 = 1,929.98 : x
  2. Step 2: Convert to fraction form
    5,049.71/7,577.72 = 1,929.98/x
  3. Step 3: Cross multiply
    5,049.71x = 7,577.72 × 1,929.98
  4. Step 4: Simplify right side
    5,049.71x = 14,624,848.05
  5. Step 5: Solve for x
    x = 14,624,848.05/5,049.71
  6. Step 6: Final answer
    x = 2,896.18

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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.