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Finding the Fourth Proportional to 4,698.36, 7,040.25 and 1,775.07

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Solution

The fourth proportional to 4,698.36, 7,040.25 and 1,775.07 is: 2,659.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698.36 : 7,040.25 = 1,775.07 : x
  2. Step 2: Convert to fraction form
    4,698.36/7,040.25 = 1,775.07/x
  3. Step 3: Cross multiply
    4,698.36x = 7,040.25 × 1,775.07
  4. Step 4: Simplify right side
    4,698.36x = 12,496,936.57
  5. Step 5: Solve for x
    x = 12,496,936.57/4,698.36
  6. Step 6: Final answer
    x = 2,659.85

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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.