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Finding the Fourth Proportional to 5,812.58, 8,021.42 and 3,160.00

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Solution

The fourth proportional to 5,812.58, 8,021.42 and 3,160.00 is: 4,360.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812.58 : 8,021.42 = 3,160.00 : x
  2. Step 2: Convert to fraction form
    5,812.58/8,021.42 = 3,160.00/x
  3. Step 3: Cross multiply
    5,812.58x = 8,021.42 × 3,160.00
  4. Step 4: Simplify right side
    5,812.58x = 25,347,631.29
  5. Step 5: Solve for x
    x = 25,347,631.29/5,812.58
  6. Step 6: Final answer
    x = 4,360.82

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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.