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Finding the Fourth Proportional to 4,379.72, 6,568.02 and 1,457.24

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Solution

The fourth proportional to 4,379.72, 6,568.02 and 1,457.24 is: 2,185.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,379.72 : 6,568.02 = 1,457.24 : x
  2. Step 2: Convert to fraction form
    4,379.72/6,568.02 = 1,457.24/x
  3. Step 3: Cross multiply
    4,379.72x = 6,568.02 × 1,457.24
  4. Step 4: Simplify right side
    4,379.72x = 9,571,181.46
  5. Step 5: Solve for x
    x = 9,571,181.46/4,379.72
  6. Step 6: Final answer
    x = 2,185.34

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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.