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Finding the Fourth Proportional to 3,483.96, 4,807.85 and 1,912.02

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Solution

The fourth proportional to 3,483.96, 4,807.85 and 1,912.02 is: 2,638.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,483.96 : 4,807.85 = 1,912.02 : x
  2. Step 2: Convert to fraction form
    3,483.96/4,807.85 = 1,912.02/x
  3. Step 3: Cross multiply
    3,483.96x = 4,807.85 × 1,912.02
  4. Step 4: Simplify right side
    3,483.96x = 9,192,695.80
  5. Step 5: Solve for x
    x = 9,192,695.80/3,483.96
  6. Step 6: Final answer
    x = 2,638.58

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1.5x scale

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.