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Finding the Fourth Proportional to 4,154.85, 6,199.72 and 4,130.55

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Solution

The fourth proportional to 4,154.85, 6,199.72 and 4,130.55 is: 6,163.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,154.85 : 6,199.72 = 4,130.55 : x
  2. Step 2: Convert to fraction form
    4,154.85/6,199.72 = 4,130.55/x
  3. Step 3: Cross multiply
    4,154.85x = 6,199.72 × 4,130.55
  4. Step 4: Simplify right side
    4,154.85x = 25,608,243.12
  5. Step 5: Solve for x
    x = 25,608,243.12/4,154.85
  6. Step 6: Final answer
    x = 6,163.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.