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Finding the Fourth Proportional to 4,698.53, 6,478.37 and 3,020.00

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Solution

The fourth proportional to 4,698.53, 6,478.37 and 3,020.00 is: 4,163.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698.53 : 6,478.37 = 3,020.00 : x
  2. Step 2: Convert to fraction form
    4,698.53/6,478.37 = 3,020.00/x
  3. Step 3: Cross multiply
    4,698.53x = 6,478.37 × 3,020.00
  4. Step 4: Simplify right side
    4,698.53x = 19,564,629.91
  5. Step 5: Solve for x
    x = 19,564,629.91/4,698.53
  6. Step 6: Final answer
    x = 4,163.99

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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.