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Finding the Fourth Proportional to 5,410.50, 7,466.40 and 3,053.40

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Solution

The fourth proportional to 5,410.50, 7,466.40 and 3,053.40 is: 4,213.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410.50 : 7,466.40 = 3,053.40 : x
  2. Step 2: Convert to fraction form
    5,410.50/7,466.40 = 3,053.40/x
  3. Step 3: Cross multiply
    5,410.50x = 7,466.40 × 3,053.40
  4. Step 4: Simplify right side
    5,410.50x = 22,797,905.76
  5. Step 5: Solve for x
    x = 22,797,905.76/5,410.50
  6. Step 6: Final answer
    x = 4,213.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.