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Finding the Fourth Proportional to 5,283.16, 7,923.84 and 1,772.86

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Solution

The fourth proportional to 5,283.16, 7,923.84 and 1,772.86 is: 2,658.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,283.16 : 7,923.84 = 1,772.86 : x
  2. Step 2: Convert to fraction form
    5,283.16/7,923.84 = 1,772.86/x
  3. Step 3: Cross multiply
    5,283.16x = 7,923.84 × 1,772.86
  4. Step 4: Simplify right side
    5,283.16x = 14,047,858.98
  5. Step 5: Solve for x
    x = 14,047,858.98/5,283.16
  6. Step 6: Final answer
    x = 2,658.99

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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.