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Finding the Fourth Proportional to 5,114.02, 7,674 and 2,152.25

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Solution

The fourth proportional to 5,114.02, 7,674 and 2,152.25 is: 3,229.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.02 : 7,674 = 2,152.25 : x
  2. Step 2: Convert to fraction form
    5,114.02/7,674 = 2,152.25/x
  3. Step 3: Cross multiply
    5,114.02x = 7,674 × 2,152.25
  4. Step 4: Simplify right side
    5,114.02x = 16,516,366.50
  5. Step 5: Solve for x
    x = 16,516,366.50/5,114.02
  6. Step 6: Final answer
    x = 3,229.62

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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.