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Finding the Fourth Proportional to 3,722.50, 5,583.90 and 1,257.33

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Solution

The fourth proportional to 3,722.50, 5,583.90 and 1,257.33 is: 1,886.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.50 : 5,583.90 = 1,257.33 : x
  2. Step 2: Convert to fraction form
    3,722.50/5,583.90 = 1,257.33/x
  3. Step 3: Cross multiply
    3,722.50x = 5,583.90 × 1,257.33
  4. Step 4: Simplify right side
    3,722.50x = 7,020,830.64
  5. Step 5: Solve for x
    x = 7,020,830.64/3,722.50
  6. Step 6: Final answer
    x = 1,886.05

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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.