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Finding the Fourth Proportional to 4,138.32, 6,210.60 and 2,580.60

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Solution

The fourth proportional to 4,138.32, 6,210.60 and 2,580.60 is: 3,872.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.32 : 6,210.60 = 2,580.60 : x
  2. Step 2: Convert to fraction form
    4,138.32/6,210.60 = 2,580.60/x
  3. Step 3: Cross multiply
    4,138.32x = 6,210.60 × 2,580.60
  4. Step 4: Simplify right side
    4,138.32x = 16,027,074.36
  5. Step 5: Solve for x
    x = 16,027,074.36/4,138.32
  6. Step 6: Final answer
    x = 3,872.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.