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Finding the Fourth Proportional to 5,810.61, 8,018.31 and 3,158.00

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Solution

The fourth proportional to 5,810.61, 8,018.31 and 3,158.00 is: 4,357.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,810.61 : 8,018.31 = 3,158.00 : x
  2. Step 2: Convert to fraction form
    5,810.61/8,018.31 = 3,158.00/x
  3. Step 3: Cross multiply
    5,810.61x = 8,018.31 × 3,158.00
  4. Step 4: Simplify right side
    5,810.61x = 25,321,824.80
  5. Step 5: Solve for x
    x = 25,321,824.80/5,810.61
  6. Step 6: Final answer
    x = 4,357.86

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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.