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Finding the Fourth Proportional to 3,170.34, 4,351.62 and 3,035.01

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Solution

The fourth proportional to 3,170.34, 4,351.62 and 3,035.01 is: 4,165.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.34 : 4,351.62 = 3,035.01 : x
  2. Step 2: Convert to fraction form
    3,170.34/4,351.62 = 3,035.01/x
  3. Step 3: Cross multiply
    3,170.34x = 4,351.62 × 3,035.01
  4. Step 4: Simplify right side
    3,170.34x = 13,207,210.22
  5. Step 5: Solve for x
    x = 13,207,210.22/3,170.34
  6. Step 6: Final answer
    x = 4,165.87

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.