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Finding the Fourth Proportional to 4,749.38, 6,554.14 and 2,653.50

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Solution

The fourth proportional to 4,749.38, 6,554.14 and 2,653.50 is: 3,661.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,749.38 : 6,554.14 = 2,653.50 : x
  2. Step 2: Convert to fraction form
    4,749.38/6,554.14 = 2,653.50/x
  3. Step 3: Cross multiply
    4,749.38x = 6,554.14 × 2,653.50
  4. Step 4: Simplify right side
    4,749.38x = 17,391,410.49
  5. Step 5: Solve for x
    x = 17,391,410.49/4,749.38
  6. Step 6: Final answer
    x = 3,661.83

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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.