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Finding the Fourth Proportional to 4,967.25, 7,452.03 and 1,457.31

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Solution

The fourth proportional to 4,967.25, 7,452.03 and 1,457.31 is: 2,186.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.25 : 7,452.03 = 1,457.31 : x
  2. Step 2: Convert to fraction form
    4,967.25/7,452.03 = 1,457.31/x
  3. Step 3: Cross multiply
    4,967.25x = 7,452.03 × 1,457.31
  4. Step 4: Simplify right side
    4,967.25x = 10,859,917.84
  5. Step 5: Solve for x
    x = 10,859,917.84/4,967.25
  6. Step 6: Final answer
    x = 2,186.30

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