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Finding the Fourth Proportional to 4,138.58, 6,210.90 and 2,580.86

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Solution

The fourth proportional to 4,138.58, 6,210.90 and 2,580.86 is: 3,873.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.58 : 6,210.90 = 2,580.86 : x
  2. Step 2: Convert to fraction form
    4,138.58/6,210.90 = 2,580.86/x
  3. Step 3: Cross multiply
    4,138.58x = 6,210.90 × 2,580.86
  4. Step 4: Simplify right side
    4,138.58x = 16,029,463.37
  5. Step 5: Solve for x
    x = 16,029,463.37/4,138.58
  6. Step 6: Final answer
    x = 3,873.18

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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.