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Finding the Fourth Proportional to 5,642.92, 8,465.75 and 1,694.17

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Solution

The fourth proportional to 5,642.92, 8,465.75 and 1,694.17 is: 2,541.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.92 : 8,465.75 = 1,694.17 : x
  2. Step 2: Convert to fraction form
    5,642.92/8,465.75 = 1,694.17/x
  3. Step 3: Cross multiply
    5,642.92x = 8,465.75 × 1,694.17
  4. Step 4: Simplify right side
    5,642.92x = 14,342,428.14
  5. Step 5: Solve for x
    x = 14,342,428.14/5,642.92
  6. Step 6: Final answer
    x = 2,541.67

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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.