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Finding the Fourth Proportional to 5,111.51, 7,670.16 and 2,771.55

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Solution

The fourth proportional to 5,111.51, 7,670.16 and 2,771.55 is: 4,158.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,111.51 : 7,670.16 = 2,771.55 : x
  2. Step 2: Convert to fraction form
    5,111.51/7,670.16 = 2,771.55/x
  3. Step 3: Cross multiply
    5,111.51x = 7,670.16 × 2,771.55
  4. Step 4: Simplify right side
    5,111.51x = 21,258,231.95
  5. Step 5: Solve for x
    x = 21,258,231.95/5,111.51
  6. Step 6: Final answer
    x = 4,158.90

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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.