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Finding the Fourth Proportional to 3,319.56, 4,987.84 and 2,505.50

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Solution

The fourth proportional to 3,319.56, 4,987.84 and 2,505.50 is: 3,764.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,319.56 : 4,987.84 = 2,505.50 : x
  2. Step 2: Convert to fraction form
    3,319.56/4,987.84 = 2,505.50/x
  3. Step 3: Cross multiply
    3,319.56x = 4,987.84 × 2,505.50
  4. Step 4: Simplify right side
    3,319.56x = 12,497,033.12
  5. Step 5: Solve for x
    x = 12,497,033.12/3,319.56
  6. Step 6: Final answer
    x = 3,764.67

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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.