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Finding the Fourth Proportional to 4,585.04, 6,874.50 and 1,662.96

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Solution

The fourth proportional to 4,585.04, 6,874.50 and 1,662.96 is: 2,493.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,585.04 : 6,874.50 = 1,662.96 : x
  2. Step 2: Convert to fraction form
    4,585.04/6,874.50 = 1,662.96/x
  3. Step 3: Cross multiply
    4,585.04x = 6,874.50 × 1,662.96
  4. Step 4: Simplify right side
    4,585.04x = 11,432,050.54
  5. Step 5: Solve for x
    x = 11,432,050.54/4,585.04
  6. Step 6: Final answer
    x = 2,493.34

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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.