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Finding the Fourth Proportional to 5,858.56, 8,078.72 and 5,022.08

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Solution

The fourth proportional to 5,858.56, 8,078.72 and 5,022.08 is: 6,925.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,858.56 : 8,078.72 = 5,022.08 : x
  2. Step 2: Convert to fraction form
    5,858.56/8,078.72 = 5,022.08/x
  3. Step 3: Cross multiply
    5,858.56x = 8,078.72 × 5,022.08
  4. Step 4: Simplify right side
    5,858.56x = 40,571,978.14
  5. Step 5: Solve for x
    x = 40,571,978.14/5,858.56
  6. Step 6: Final answer
    x = 6,925.25

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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.