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Finding the Fourth Proportional to 4,727.25, 7,094.12 and 1,649.25

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Solution

The fourth proportional to 4,727.25, 7,094.12 and 1,649.25 is: 2,475.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,727.25 : 7,094.12 = 1,649.25 : x
  2. Step 2: Convert to fraction form
    4,727.25/7,094.12 = 1,649.25/x
  3. Step 3: Cross multiply
    4,727.25x = 7,094.12 × 1,649.25
  4. Step 4: Simplify right side
    4,727.25x = 11,699,969.16
  5. Step 5: Solve for x
    x = 11,699,969.16/4,727.25
  6. Step 6: Final answer
    x = 2,475.01

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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.