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Finding the Fourth Proportional to 4,607.83, 6,912.15 and 1,835.20

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Solution

The fourth proportional to 4,607.83, 6,912.15 and 1,835.20 is: 2,752.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,607.83 : 6,912.15 = 1,835.20 : x
  2. Step 2: Convert to fraction form
    4,607.83/6,912.15 = 1,835.20/x
  3. Step 3: Cross multiply
    4,607.83x = 6,912.15 × 1,835.20
  4. Step 4: Simplify right side
    4,607.83x = 12,685,177.68
  5. Step 5: Solve for x
    x = 12,685,177.68/4,607.83
  6. Step 6: Final answer
    x = 2,752.96

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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.