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Finding the Fourth Proportional to 4,393.52, 6,583.96 and 1,894.02

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Solution

The fourth proportional to 4,393.52, 6,583.96 and 1,894.02 is: 2,838.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,393.52 : 6,583.96 = 1,894.02 : x
  2. Step 2: Convert to fraction form
    4,393.52/6,583.96 = 1,894.02/x
  3. Step 3: Cross multiply
    4,393.52x = 6,583.96 × 1,894.02
  4. Step 4: Simplify right side
    4,393.52x = 12,470,151.92
  5. Step 5: Solve for x
    x = 12,470,151.92/4,393.52
  6. Step 6: Final answer
    x = 2,838.31

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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.