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Finding the Fourth Proportional to 4,172.74, 6,258.63 and 1,094.98

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Solution

The fourth proportional to 4,172.74, 6,258.63 and 1,094.98 is: 1,642.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,172.74 : 6,258.63 = 1,094.98 : x
  2. Step 2: Convert to fraction form
    4,172.74/6,258.63 = 1,094.98/x
  3. Step 3: Cross multiply
    4,172.74x = 6,258.63 × 1,094.98
  4. Step 4: Simplify right side
    4,172.74x = 6,853,074.68
  5. Step 5: Solve for x
    x = 6,853,074.68/4,172.74
  6. Step 6: Final answer
    x = 1,642.34

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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.