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Finding the Fourth Proportional to 4,699.87, 7,015.49 and 4,357.24

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Solution

The fourth proportional to 4,699.87, 7,015.49 and 4,357.24 is: 6,504.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,699.87 : 7,015.49 = 4,357.24 : x
  2. Step 2: Convert to fraction form
    4,699.87/7,015.49 = 4,357.24/x
  3. Step 3: Cross multiply
    4,699.87x = 7,015.49 × 4,357.24
  4. Step 4: Simplify right side
    4,699.87x = 30,568,173.65
  5. Step 5: Solve for x
    x = 30,568,173.65/4,699.87
  6. Step 6: Final answer
    x = 6,504.05

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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.