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Finding the Fourth Proportional to 4,777.24, 7,152.90 and 4,186.84

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Solution

The fourth proportional to 4,777.24, 7,152.90 and 4,186.84 is: 6,268.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777.24 : 7,152.90 = 4,186.84 : x
  2. Step 2: Convert to fraction form
    4,777.24/7,152.90 = 4,186.84/x
  3. Step 3: Cross multiply
    4,777.24x = 7,152.90 × 4,186.84
  4. Step 4: Simplify right side
    4,777.24x = 29,948,047.84
  5. Step 5: Solve for x
    x = 29,948,047.84/4,777.24
  6. Step 6: Final answer
    x = 6,268.90

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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.