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Finding the Fourth Proportional to 4,216.72, 6,325.98 and 1,294.93

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Solution

The fourth proportional to 4,216.72, 6,325.98 and 1,294.93 is: 1,942.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,216.72 : 6,325.98 = 1,294.93 : x
  2. Step 2: Convert to fraction form
    4,216.72/6,325.98 = 1,294.93/x
  3. Step 3: Cross multiply
    4,216.72x = 6,325.98 × 1,294.93
  4. Step 4: Simplify right side
    4,216.72x = 8,191,701.28
  5. Step 5: Solve for x
    x = 8,191,701.28/4,216.72
  6. Step 6: Final answer
    x = 1,942.67

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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.