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Finding the Fourth Proportional to 5,152.50, 7,712.10 and 2,683.80

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Solution

The fourth proportional to 5,152.50, 7,712.10 and 2,683.80 is: 4,017.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.50 : 7,712.10 = 2,683.80 : x
  2. Step 2: Convert to fraction form
    5,152.50/7,712.10 = 2,683.80/x
  3. Step 3: Cross multiply
    5,152.50x = 7,712.10 × 2,683.80
  4. Step 4: Simplify right side
    5,152.50x = 20,697,733.98
  5. Step 5: Solve for x
    x = 20,697,733.98/5,152.50
  6. Step 6: Final answer
    x = 4,017.03

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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.