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Finding the Fourth Proportional to 3,185.40, 4,396.13 and 1,859.53

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Solution

The fourth proportional to 3,185.40, 4,396.13 and 1,859.53 is: 2,566.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.40 : 4,396.13 = 1,859.53 : x
  2. Step 2: Convert to fraction form
    3,185.40/4,396.13 = 1,859.53/x
  3. Step 3: Cross multiply
    3,185.40x = 4,396.13 × 1,859.53
  4. Step 4: Simplify right side
    3,185.40x = 8,174,741.01
  5. Step 5: Solve for x
    x = 8,174,741.01/3,185.40
  6. Step 6: Final answer
    x = 2,566.32

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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.