Home / 3,830.64-5,740.60-2,071.84

Finding the Fourth Proportional to 3,830.64, 5,740.60 and 2,071.84

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Solution

The fourth proportional to 3,830.64, 5,740.60 and 2,071.84 is: 3,104.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.64 : 5,740.60 = 2,071.84 : x
  2. Step 2: Convert to fraction form
    3,830.64/5,740.60 = 2,071.84/x
  3. Step 3: Cross multiply
    3,830.64x = 5,740.60 × 2,071.84
  4. Step 4: Simplify right side
    3,830.64x = 11,893,604.70
  5. Step 5: Solve for x
    x = 11,893,604.70/3,830.64
  6. Step 6: Final answer
    x = 3,104.86

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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.