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Finding the Fourth Proportional to 5,353.24, 8,028.24 and 1,457.14

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Solution

The fourth proportional to 5,353.24, 8,028.24 and 1,457.14 is: 2,185.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,353.24 : 8,028.24 = 1,457.14 : x
  2. Step 2: Convert to fraction form
    5,353.24/8,028.24 = 1,457.14/x
  3. Step 3: Cross multiply
    5,353.24x = 8,028.24 × 1,457.14
  4. Step 4: Simplify right side
    5,353.24x = 11,698,269.63
  5. Step 5: Solve for x
    x = 11,698,269.63/5,353.24
  6. Step 6: Final answer
    x = 2,185.27

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1.5x scale

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.