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Finding the Fourth Proportional to 5,443.50, 7,509.06 and 3,450.64

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Solution

The fourth proportional to 5,443.50, 7,509.06 and 3,450.64 is: 4,760.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,443.50 : 7,509.06 = 3,450.64 : x
  2. Step 2: Convert to fraction form
    5,443.50/7,509.06 = 3,450.64/x
  3. Step 3: Cross multiply
    5,443.50x = 7,509.06 × 3,450.64
  4. Step 4: Simplify right side
    5,443.50x = 25,911,062.80
  5. Step 5: Solve for x
    x = 25,911,062.80/5,443.50
  6. Step 6: Final answer
    x = 4,760.00

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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.