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Finding the Fourth Proportional to 5,680.01, 7,812.38 and 4,558.48

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Solution

The fourth proportional to 5,680.01, 7,812.38 and 4,558.48 is: 6,269.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,680.01 : 7,812.38 = 4,558.48 : x
  2. Step 2: Convert to fraction form
    5,680.01/7,812.38 = 4,558.48/x
  3. Step 3: Cross multiply
    5,680.01x = 7,812.38 × 4,558.48
  4. Step 4: Simplify right side
    5,680.01x = 35,612,569.85
  5. Step 5: Solve for x
    x = 35,612,569.85/5,680.01
  6. Step 6: Final answer
    x = 6,269.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.