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Finding the Fourth Proportional to 5,253.66, 7,880.49 and 2,173.50

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Solution

The fourth proportional to 5,253.66, 7,880.49 and 2,173.50 is: 3,260.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,253.66 : 7,880.49 = 2,173.50 : x
  2. Step 2: Convert to fraction form
    5,253.66/7,880.49 = 2,173.50/x
  3. Step 3: Cross multiply
    5,253.66x = 7,880.49 × 2,173.50
  4. Step 4: Simplify right side
    5,253.66x = 17,128,245.02
  5. Step 5: Solve for x
    x = 17,128,245.02/5,253.66
  6. Step 6: Final answer
    x = 3,260.25

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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.