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Finding the Fourth Proportional to 5,835, 8,052.30 and 3,739.53

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Solution

The fourth proportional to 5,835, 8,052.30 and 3,739.53 is: 5,160.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,835 : 8,052.30 = 3,739.53 : x
  2. Step 2: Convert to fraction form
    5,835/8,052.30 = 3,739.53/x
  3. Step 3: Cross multiply
    5,835x = 8,052.30 × 3,739.53
  4. Step 4: Simplify right side
    5,835x = 30,111,817.42
  5. Step 5: Solve for x
    x = 30,111,817.42/5,835
  6. Step 6: Final answer
    x = 5,160.55

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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.