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Finding the Fourth Proportional to 4,958.14, 6,825.06 and 4,285.64

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Solution

The fourth proportional to 4,958.14, 6,825.06 and 4,285.64 is: 5,899.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,958.14 : 6,825.06 = 4,285.64 : x
  2. Step 2: Convert to fraction form
    4,958.14/6,825.06 = 4,285.64/x
  3. Step 3: Cross multiply
    4,958.14x = 6,825.06 × 4,285.64
  4. Step 4: Simplify right side
    4,958.14x = 29,249,750.14
  5. Step 5: Solve for x
    x = 29,249,750.14/4,958.14
  6. Step 6: Final answer
    x = 5,899.34

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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.