Home / 3,106.08-4,657.88-1,157.22

Finding the Fourth Proportional to 3,106.08, 4,657.88 and 1,157.22

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Solution

The fourth proportional to 3,106.08, 4,657.88 and 1,157.22 is: 1,735.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.08 : 4,657.88 = 1,157.22 : x
  2. Step 2: Convert to fraction form
    3,106.08/4,657.88 = 1,157.22/x
  3. Step 3: Cross multiply
    3,106.08x = 4,657.88 × 1,157.22
  4. Step 4: Simplify right side
    3,106.08x = 5,390,191.89
  5. Step 5: Solve for x
    x = 5,390,191.89/3,106.08
  6. Step 6: Final answer
    x = 1,735.37

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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.