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Finding the Fourth Proportional to 5,280.50, 7,921.56 and 3,830.60

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Solution

The fourth proportional to 5,280.50, 7,921.56 and 3,830.60 is: 5,746.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,280.50 : 7,921.56 = 3,830.60 : x
  2. Step 2: Convert to fraction form
    5,280.50/7,921.56 = 3,830.60/x
  3. Step 3: Cross multiply
    5,280.50x = 7,921.56 × 3,830.60
  4. Step 4: Simplify right side
    5,280.50x = 30,344,327.74
  5. Step 5: Solve for x
    x = 30,344,327.74/5,280.50
  6. Step 6: Final answer
    x = 5,746.49

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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.