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Finding the Fourth Proportional to 5,830.98, 8,741.22 and 2,130.62

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Solution

The fourth proportional to 5,830.98, 8,741.22 and 2,130.62 is: 3,194.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.98 : 8,741.22 = 2,130.62 : x
  2. Step 2: Convert to fraction form
    5,830.98/8,741.22 = 2,130.62/x
  3. Step 3: Cross multiply
    5,830.98x = 8,741.22 × 2,130.62
  4. Step 4: Simplify right side
    5,830.98x = 18,624,218.16
  5. Step 5: Solve for x
    x = 18,624,218.16/5,830.98
  6. Step 6: Final answer
    x = 3,194.01

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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.