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Finding the Fourth Proportional to 5,812.30, 8,713.57 and 4,052.13

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Solution

The fourth proportional to 5,812.30, 8,713.57 and 4,052.13 is: 6,074.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812.30 : 8,713.57 = 4,052.13 : x
  2. Step 2: Convert to fraction form
    5,812.30/8,713.57 = 4,052.13/x
  3. Step 3: Cross multiply
    5,812.30x = 8,713.57 × 4,052.13
  4. Step 4: Simplify right side
    5,812.30x = 35,308,518.40
  5. Step 5: Solve for x
    x = 35,308,518.40/5,812.30
  6. Step 6: Final answer
    x = 6,074.79

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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.