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Finding the Fourth Proportional to 4,741.36, 7,111.74 and 1,454.20

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Solution

The fourth proportional to 4,741.36, 7,111.74 and 1,454.20 is: 2,181.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,741.36 : 7,111.74 = 1,454.20 : x
  2. Step 2: Convert to fraction form
    4,741.36/7,111.74 = 1,454.20/x
  3. Step 3: Cross multiply
    4,741.36x = 7,111.74 × 1,454.20
  4. Step 4: Simplify right side
    4,741.36x = 10,341,892.31
  5. Step 5: Solve for x
    x = 10,341,892.31/4,741.36
  6. Step 6: Final answer
    x = 2,181.21

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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.