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Finding the Fourth Proportional to 3,483.49, 4,807.22 and 1,911.60

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Solution

The fourth proportional to 3,483.49, 4,807.22 and 1,911.60 is: 2,638.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,483.49 : 4,807.22 = 1,911.60 : x
  2. Step 2: Convert to fraction form
    3,483.49/4,807.22 = 1,911.60/x
  3. Step 3: Cross multiply
    3,483.49x = 4,807.22 × 1,911.60
  4. Step 4: Simplify right side
    3,483.49x = 9,189,481.75
  5. Step 5: Solve for x
    x = 9,189,481.75/3,483.49
  6. Step 6: Final answer
    x = 2,638.01

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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.