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Finding the Fourth Proportional to 5,509.50, 8,224.60 and 4,721

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Solution

The fourth proportional to 5,509.50, 8,224.60 and 4,721 is: 7,047.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509.50 : 8,224.60 = 4,721 : x
  2. Step 2: Convert to fraction form
    5,509.50/8,224.60 = 4,721/x
  3. Step 3: Cross multiply
    5,509.50x = 8,224.60 × 4,721
  4. Step 4: Simplify right side
    5,509.50x = 38,828,336.60
  5. Step 5: Solve for x
    x = 38,828,336.60/5,509.50
  6. Step 6: Final answer
    x = 7,047.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.