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Finding the Fourth Proportional to 6,051.84, 9,033.60 and 5,191.68

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Solution

The fourth proportional to 6,051.84, 9,033.60 and 5,191.68 is: 7,749.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,051.84 : 9,033.60 = 5,191.68 : x
  2. Step 2: Convert to fraction form
    6,051.84/9,033.60 = 5,191.68/x
  3. Step 3: Cross multiply
    6,051.84x = 9,033.60 × 5,191.68
  4. Step 4: Simplify right side
    6,051.84x = 46,899,560.45
  5. Step 5: Solve for x
    x = 46,899,560.45/6,051.84
  6. Step 6: Final answer
    x = 7,749.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.