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Finding the Fourth Proportional to 3,509.18, 5,238.07 and 3,094.00

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Solution

The fourth proportional to 3,509.18, 5,238.07 and 3,094.00 is: 4,618.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.18 : 5,238.07 = 3,094.00 : x
  2. Step 2: Convert to fraction form
    3,509.18/5,238.07 = 3,094.00/x
  3. Step 3: Cross multiply
    3,509.18x = 5,238.07 × 3,094.00
  4. Step 4: Simplify right side
    3,509.18x = 16,206,567.75
  5. Step 5: Solve for x
    x = 16,206,567.75/3,509.18
  6. Step 6: Final answer
    x = 4,618.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.