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Finding the Fourth Proportional to 4,099.58, 5,655.75 and 2,858.30

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Solution

The fourth proportional to 4,099.58, 5,655.75 and 2,858.30 is: 3,943.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099.58 : 5,655.75 = 2,858.30 : x
  2. Step 2: Convert to fraction form
    4,099.58/5,655.75 = 2,858.30/x
  3. Step 3: Cross multiply
    4,099.58x = 5,655.75 × 2,858.30
  4. Step 4: Simplify right side
    4,099.58x = 16,165,830.23
  5. Step 5: Solve for x
    x = 16,165,830.23/4,099.58
  6. Step 6: Final answer
    x = 3,943.29

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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.