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Finding the Fourth Proportional to 3,494.01, 5,236.20 and 2,570.07

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Solution

The fourth proportional to 3,494.01, 5,236.20 and 2,570.07 is: 3,851.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.01 : 5,236.20 = 2,570.07 : x
  2. Step 2: Convert to fraction form
    3,494.01/5,236.20 = 2,570.07/x
  3. Step 3: Cross multiply
    3,494.01x = 5,236.20 × 2,570.07
  4. Step 4: Simplify right side
    3,494.01x = 13,457,400.53
  5. Step 5: Solve for x
    x = 13,457,400.53/3,494.01
  6. Step 6: Final answer
    x = 3,851.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.