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Finding the Fourth Proportional to 4,618.16, 6,928.83 and 2,535.50

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Solution

The fourth proportional to 4,618.16, 6,928.83 and 2,535.50 is: 3,804.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,618.16 : 6,928.83 = 2,535.50 : x
  2. Step 2: Convert to fraction form
    4,618.16/6,928.83 = 2,535.50/x
  3. Step 3: Cross multiply
    4,618.16x = 6,928.83 × 2,535.50
  4. Step 4: Simplify right side
    4,618.16x = 17,568,013.82
  5. Step 5: Solve for x
    x = 17,568,013.82/4,618.16
  6. Step 6: Final answer
    x = 3,804.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.