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Finding the Fourth Proportional to 5,004.90, 6,896.61 and 4,741.38

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Solution

The fourth proportional to 5,004.90, 6,896.61 and 4,741.38 is: 6,533.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,004.90 : 6,896.61 = 4,741.38 : x
  2. Step 2: Convert to fraction form
    5,004.90/6,896.61 = 4,741.38/x
  3. Step 3: Cross multiply
    5,004.90x = 6,896.61 × 4,741.38
  4. Step 4: Simplify right side
    5,004.90x = 32,699,448.72
  5. Step 5: Solve for x
    x = 32,699,448.72/5,004.90
  6. Step 6: Final answer
    x = 6,533.49

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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.