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Finding the Fourth Proportional to 5,352.44, 8,027.74 and 1,457.16

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Solution

The fourth proportional to 5,352.44, 8,027.74 and 1,457.16 is: 2,185.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,352.44 : 8,027.74 = 1,457.16 : x
  2. Step 2: Convert to fraction form
    5,352.44/8,027.74 = 1,457.16/x
  3. Step 3: Cross multiply
    5,352.44x = 8,027.74 × 1,457.16
  4. Step 4: Simplify right side
    5,352.44x = 11,697,701.62
  5. Step 5: Solve for x
    x = 11,697,701.62/5,352.44
  6. Step 6: Final answer
    x = 2,185.49

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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.