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Finding the Fourth Proportional to 4,095.52, 5,647.44 and 2,695.84

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Solution

The fourth proportional to 4,095.52, 5,647.44 and 2,695.84 is: 3,717.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,095.52 : 5,647.44 = 2,695.84 : x
  2. Step 2: Convert to fraction form
    4,095.52/5,647.44 = 2,695.84/x
  3. Step 3: Cross multiply
    4,095.52x = 5,647.44 × 2,695.84
  4. Step 4: Simplify right side
    4,095.52x = 15,224,594.65
  5. Step 5: Solve for x
    x = 15,224,594.65/4,095.52
  6. Step 6: Final answer
    x = 3,717.38

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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.