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Finding the Fourth Proportional to 3,547.91, 4,896.23 and 1,954.67

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Solution

The fourth proportional to 3,547.91, 4,896.23 and 1,954.67 is: 2,697.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.91 : 4,896.23 = 1,954.67 : x
  2. Step 2: Convert to fraction form
    3,547.91/4,896.23 = 1,954.67/x
  3. Step 3: Cross multiply
    3,547.91x = 4,896.23 × 1,954.67
  4. Step 4: Simplify right side
    3,547.91x = 9,570,504.12
  5. Step 5: Solve for x
    x = 9,570,504.12/3,547.91
  6. Step 6: Final answer
    x = 2,697.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.