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Finding the Fourth Proportional to 4,969.47, 7,454.40 and 1,850.26

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Solution

The fourth proportional to 4,969.47, 7,454.40 and 1,850.26 is: 2,775.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.47 : 7,454.40 = 1,850.26 : x
  2. Step 2: Convert to fraction form
    4,969.47/7,454.40 = 1,850.26/x
  3. Step 3: Cross multiply
    4,969.47x = 7,454.40 × 1,850.26
  4. Step 4: Simplify right side
    4,969.47x = 13,792,559.51
  5. Step 5: Solve for x
    x = 13,792,559.51/4,969.47
  6. Step 6: Final answer
    x = 2,775.46

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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.