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Finding the Fourth Proportional to 3,712.50, 5,561.80 and 1,861.45

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Solution

The fourth proportional to 3,712.50, 5,561.80 and 1,861.45 is: 2,788.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.50 : 5,561.80 = 1,861.45 : x
  2. Step 2: Convert to fraction form
    3,712.50/5,561.80 = 1,861.45/x
  3. Step 3: Cross multiply
    3,712.50x = 5,561.80 × 1,861.45
  4. Step 4: Simplify right side
    3,712.50x = 10,352,994.05
  5. Step 5: Solve for x
    x = 10,352,994.05/3,712.50
  6. Step 6: Final answer
    x = 2,788.69

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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.