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Finding the Fourth Proportional to 4,007.78, 5,530.64 and 2,239.40

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Solution

The fourth proportional to 4,007.78, 5,530.64 and 2,239.40 is: 3,090.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,007.78 : 5,530.64 = 2,239.40 : x
  2. Step 2: Convert to fraction form
    4,007.78/5,530.64 = 2,239.40/x
  3. Step 3: Cross multiply
    4,007.78x = 5,530.64 × 2,239.40
  4. Step 4: Simplify right side
    4,007.78x = 12,385,310.93
  5. Step 5: Solve for x
    x = 12,385,310.93/4,007.78
  6. Step 6: Final answer
    x = 3,090.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.