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Finding the Fourth Proportional to 4,277.34, 6,403.86 and 2,958.12

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Solution

The fourth proportional to 4,277.34, 6,403.86 and 2,958.12 is: 4,428.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,277.34 : 6,403.86 = 2,958.12 : x
  2. Step 2: Convert to fraction form
    4,277.34/6,403.86 = 2,958.12/x
  3. Step 3: Cross multiply
    4,277.34x = 6,403.86 × 2,958.12
  4. Step 4: Simplify right side
    4,277.34x = 18,943,386.34
  5. Step 5: Solve for x
    x = 18,943,386.34/4,277.34
  6. Step 6: Final answer
    x = 4,428.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.