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Finding the Fourth Proportional to 3,658.44, 5,477.94 and 2,859.84

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Solution

The fourth proportional to 3,658.44, 5,477.94 and 2,859.84 is: 4,282.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.44 : 5,477.94 = 2,859.84 : x
  2. Step 2: Convert to fraction form
    3,658.44/5,477.94 = 2,859.84/x
  3. Step 3: Cross multiply
    3,658.44x = 5,477.94 × 2,859.84
  4. Step 4: Simplify right side
    3,658.44x = 15,666,031.93
  5. Step 5: Solve for x
    x = 15,666,031.93/3,658.44
  6. Step 6: Final answer
    x = 4,282.16

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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.