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Finding the Fourth Proportional to 4,474.64, 6,707.90 and 1,876.16

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Solution

The fourth proportional to 4,474.64, 6,707.90 and 1,876.16 is: 2,812.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,474.64 : 6,707.90 = 1,876.16 : x
  2. Step 2: Convert to fraction form
    4,474.64/6,707.90 = 1,876.16/x
  3. Step 3: Cross multiply
    4,474.64x = 6,707.90 × 1,876.16
  4. Step 4: Simplify right side
    4,474.64x = 12,585,093.66
  5. Step 5: Solve for x
    x = 12,585,093.66/4,474.64
  6. Step 6: Final answer
    x = 2,812.54

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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.