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Finding the Fourth Proportional to 4,741.40, 7,112.10 and 4,644.20

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Solution

The fourth proportional to 4,741.40, 7,112.10 and 4,644.20 is: 6,966.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,741.40 : 7,112.10 = 4,644.20 : x
  2. Step 2: Convert to fraction form
    4,741.40/7,112.10 = 4,644.20/x
  3. Step 3: Cross multiply
    4,741.40x = 7,112.10 × 4,644.20
  4. Step 4: Simplify right side
    4,741.40x = 33,030,014.82
  5. Step 5: Solve for x
    x = 33,030,014.82/4,741.40
  6. Step 6: Final answer
    x = 6,966.30

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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.