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Finding the Fourth Proportional to 4,007.76, 5,530.50 and 2,239

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Solution

The fourth proportional to 4,007.76, 5,530.50 and 2,239 is: 3,089.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,007.76 : 5,530.50 = 2,239 : x
  2. Step 2: Convert to fraction form
    4,007.76/5,530.50 = 2,239/x
  3. Step 3: Cross multiply
    4,007.76x = 5,530.50 × 2,239
  4. Step 4: Simplify right side
    4,007.76x = 12,382,789.50
  5. Step 5: Solve for x
    x = 12,382,789.50/4,007.76
  6. Step 6: Final answer
    x = 3,089.70

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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.