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Finding the Fourth Proportional to 5,894.30, 8,828.74 and 2,769.62

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Solution

The fourth proportional to 5,894.30, 8,828.74 and 2,769.62 is: 4,148.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.30 : 8,828.74 = 2,769.62 : x
  2. Step 2: Convert to fraction form
    5,894.30/8,828.74 = 2,769.62/x
  3. Step 3: Cross multiply
    5,894.30x = 8,828.74 × 2,769.62
  4. Step 4: Simplify right side
    5,894.30x = 24,452,203.81
  5. Step 5: Solve for x
    x = 24,452,203.81/5,894.30
  6. Step 6: Final answer
    x = 4,148.45

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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.