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Finding the Fourth Proportional to 3,199.32, 4,415.63 and 3,059.22

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Solution

The fourth proportional to 3,199.32, 4,415.63 and 3,059.22 is: 4,222.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.32 : 4,415.63 = 3,059.22 : x
  2. Step 2: Convert to fraction form
    3,199.32/4,415.63 = 3,059.22/x
  3. Step 3: Cross multiply
    3,199.32x = 4,415.63 × 3,059.22
  4. Step 4: Simplify right side
    3,199.32x = 13,508,368.31
  5. Step 5: Solve for x
    x = 13,508,368.31/3,199.32
  6. Step 6: Final answer
    x = 4,222.26

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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.