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Finding the Fourth Proportional to 4,468.84, 6,697.02 and 1,868.68

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Solution

The fourth proportional to 4,468.84, 6,697.02 and 1,868.68 is: 2,800.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,468.84 : 6,697.02 = 1,868.68 : x
  2. Step 2: Convert to fraction form
    4,468.84/6,697.02 = 1,868.68/x
  3. Step 3: Cross multiply
    4,468.84x = 6,697.02 × 1,868.68
  4. Step 4: Simplify right side
    4,468.84x = 12,514,587.33
  5. Step 5: Solve for x
    x = 12,514,587.33/4,468.84
  6. Step 6: Final answer
    x = 2,800.41

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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.