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Finding the Fourth Proportional to 5,139.55, 7,704.64 and 1,851.90

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Solution

The fourth proportional to 5,139.55, 7,704.64 and 1,851.90 is: 2,776.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,139.55 : 7,704.64 = 1,851.90 : x
  2. Step 2: Convert to fraction form
    5,139.55/7,704.64 = 1,851.90/x
  3. Step 3: Cross multiply
    5,139.55x = 7,704.64 × 1,851.90
  4. Step 4: Simplify right side
    5,139.55x = 14,268,222.82
  5. Step 5: Solve for x
    x = 14,268,222.82/5,139.55
  6. Step 6: Final answer
    x = 2,776.16

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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.