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Finding the Fourth Proportional to 5,006.61, 7,509.63 and 1,496.64

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Solution

The fourth proportional to 5,006.61, 7,509.63 and 1,496.64 is: 2,244.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006.61 : 7,509.63 = 1,496.64 : x
  2. Step 2: Convert to fraction form
    5,006.61/7,509.63 = 1,496.64/x
  3. Step 3: Cross multiply
    5,006.61x = 7,509.63 × 1,496.64
  4. Step 4: Simplify right side
    5,006.61x = 11,239,212.64
  5. Step 5: Solve for x
    x = 11,239,212.64/5,006.61
  6. Step 6: Final answer
    x = 2,244.87

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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.