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Finding the Fourth Proportional to 4,156.26, 5,734.98 and 3,319.26

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Solution

The fourth proportional to 4,156.26, 5,734.98 and 3,319.26 is: 4,580.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.26 : 5,734.98 = 3,319.26 : x
  2. Step 2: Convert to fraction form
    4,156.26/5,734.98 = 3,319.26/x
  3. Step 3: Cross multiply
    4,156.26x = 5,734.98 × 3,319.26
  4. Step 4: Simplify right side
    4,156.26x = 19,035,889.71
  5. Step 5: Solve for x
    x = 19,035,889.71/4,156.26
  6. Step 6: Final answer
    x = 4,580.05

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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.