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Finding the Fourth Proportional to 3,648.70, 5,477.10 and 2,830.60

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Solution

The fourth proportional to 3,648.70, 5,477.10 and 2,830.60 is: 4,249.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.70 : 5,477.10 = 2,830.60 : x
  2. Step 2: Convert to fraction form
    3,648.70/5,477.10 = 2,830.60/x
  3. Step 3: Cross multiply
    3,648.70x = 5,477.10 × 2,830.60
  4. Step 4: Simplify right side
    3,648.70x = 15,503,479.26
  5. Step 5: Solve for x
    x = 15,503,479.26/3,648.70
  6. Step 6: Final answer
    x = 4,249.04

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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.