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Finding the Fourth Proportional to 3,830.66, 5,740.65 and 2,071.88

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Solution

The fourth proportional to 3,830.66, 5,740.65 and 2,071.88 is: 3,104.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.66 : 5,740.65 = 2,071.88 : x
  2. Step 2: Convert to fraction form
    3,830.66/5,740.65 = 2,071.88/x
  3. Step 3: Cross multiply
    3,830.66x = 5,740.65 × 2,071.88
  4. Step 4: Simplify right side
    3,830.66x = 11,893,937.92
  5. Step 5: Solve for x
    x = 11,893,937.92/3,830.66
  6. Step 6: Final answer
    x = 3,104.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.