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Finding the Fourth Proportional to 3,509.00, 5,261.74 and 1,168.18

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Solution

The fourth proportional to 3,509.00, 5,261.74 and 1,168.18 is: 1,751.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.00 : 5,261.74 = 1,168.18 : x
  2. Step 2: Convert to fraction form
    3,509.00/5,261.74 = 1,168.18/x
  3. Step 3: Cross multiply
    3,509.00x = 5,261.74 × 1,168.18
  4. Step 4: Simplify right side
    3,509.00x = 6,146,643.36
  5. Step 5: Solve for x
    x = 6,146,643.36/3,509.00
  6. Step 6: Final answer
    x = 1,751.68

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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.