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Finding the Fourth Proportional to 4,156.98, 5,736.60 and 2,293.98

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Solution

The fourth proportional to 4,156.98, 5,736.60 and 2,293.98 is: 3,165.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.98 : 5,736.60 = 2,293.98 : x
  2. Step 2: Convert to fraction form
    4,156.98/5,736.60 = 2,293.98/x
  3. Step 3: Cross multiply
    4,156.98x = 5,736.60 × 2,293.98
  4. Step 4: Simplify right side
    4,156.98x = 13,159,645.67
  5. Step 5: Solve for x
    x = 13,159,645.67/4,156.98
  6. Step 6: Final answer
    x = 3,165.67

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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.