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Finding the Fourth Proportional to 5,009.52, 7,509.24 and 2,237.64

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Solution

The fourth proportional to 5,009.52, 7,509.24 and 2,237.64 is: 3,354.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,009.52 : 7,509.24 = 2,237.64 : x
  2. Step 2: Convert to fraction form
    5,009.52/7,509.24 = 2,237.64/x
  3. Step 3: Cross multiply
    5,009.52x = 7,509.24 × 2,237.64
  4. Step 4: Simplify right side
    5,009.52x = 16,802,975.79
  5. Step 5: Solve for x
    x = 16,802,975.79/5,009.52
  6. Step 6: Final answer
    x = 3,354.21

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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.