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Finding the Fourth Proportional to 3,643.59, 5,026.91 and 2,071.29

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Solution

The fourth proportional to 3,643.59, 5,026.91 and 2,071.29 is: 2,857.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.59 : 5,026.91 = 2,071.29 : x
  2. Step 2: Convert to fraction form
    3,643.59/5,026.91 = 2,071.29/x
  3. Step 3: Cross multiply
    3,643.59x = 5,026.91 × 2,071.29
  4. Step 4: Simplify right side
    3,643.59x = 10,412,178.06
  5. Step 5: Solve for x
    x = 10,412,178.06/3,643.59
  6. Step 6: Final answer
    x = 2,857.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.