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Finding the Fourth Proportional to 4,773.80, 7,152.23 and 4,073.36

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Solution

The fourth proportional to 4,773.80, 7,152.23 and 4,073.36 is: 6,102.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,773.80 : 7,152.23 = 4,073.36 : x
  2. Step 2: Convert to fraction form
    4,773.80/7,152.23 = 4,073.36/x
  3. Step 3: Cross multiply
    4,773.80x = 7,152.23 × 4,073.36
  4. Step 4: Simplify right side
    4,773.80x = 29,133,582.02
  5. Step 5: Solve for x
    x = 29,133,582.02/4,773.80
  6. Step 6: Final answer
    x = 6,102.80

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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.