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Finding the Fourth Proportional to 5,870.53, 8,102.16 and 3,633.13

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Solution

The fourth proportional to 5,870.53, 8,102.16 and 3,633.13 is: 5,014.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,870.53 : 8,102.16 = 3,633.13 : x
  2. Step 2: Convert to fraction form
    5,870.53/8,102.16 = 3,633.13/x
  3. Step 3: Cross multiply
    5,870.53x = 8,102.16 × 3,633.13
  4. Step 4: Simplify right side
    5,870.53x = 29,436,187.12
  5. Step 5: Solve for x
    x = 29,436,187.12/5,870.53
  6. Step 6: Final answer
    x = 5,014.23

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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.