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Finding the Fourth Proportional to 3,484.44, 4,807 and 2,086.38

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Solution

The fourth proportional to 3,484.44, 4,807 and 2,086.38 is: 2,878.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.44 : 4,807 = 2,086.38 : x
  2. Step 2: Convert to fraction form
    3,484.44/4,807 = 2,086.38/x
  3. Step 3: Cross multiply
    3,484.44x = 4,807 × 2,086.38
  4. Step 4: Simplify right side
    3,484.44x = 10,029,228.66
  5. Step 5: Solve for x
    x = 10,029,228.66/3,484.44
  6. Step 6: Final answer
    x = 2,878.29

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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.