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Finding the Fourth Proportional to 4,773.44, 7,160.72 and 2,178.08

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Solution

The fourth proportional to 4,773.44, 7,160.72 and 2,178.08 is: 3,267.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,773.44 : 7,160.72 = 2,178.08 : x
  2. Step 2: Convert to fraction form
    4,773.44/7,160.72 = 2,178.08/x
  3. Step 3: Cross multiply
    4,773.44x = 7,160.72 × 2,178.08
  4. Step 4: Simplify right side
    4,773.44x = 15,596,621.02
  5. Step 5: Solve for x
    x = 15,596,621.02/4,773.44
  6. Step 6: Final answer
    x = 3,267.38

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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.