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Finding the Fourth Proportional to 4,277.46, 6,415.07 and 1,811.01

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Solution

The fourth proportional to 4,277.46, 6,415.07 and 1,811.01 is: 2,716.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,277.46 : 6,415.07 = 1,811.01 : x
  2. Step 2: Convert to fraction form
    4,277.46/6,415.07 = 1,811.01/x
  3. Step 3: Cross multiply
    4,277.46x = 6,415.07 × 1,811.01
  4. Step 4: Simplify right side
    4,277.46x = 11,617,750.12
  5. Step 5: Solve for x
    x = 11,617,750.12/4,277.46
  6. Step 6: Final answer
    x = 2,716.04

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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.