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Finding the Fourth Proportional to 4,277.56, 6,415.53 and 1,199.56

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Solution

The fourth proportional to 4,277.56, 6,415.53 and 1,199.56 is: 1,799.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,277.56 : 6,415.53 = 1,199.56 : x
  2. Step 2: Convert to fraction form
    4,277.56/6,415.53 = 1,199.56/x
  3. Step 3: Cross multiply
    4,277.56x = 6,415.53 × 1,199.56
  4. Step 4: Simplify right side
    4,277.56x = 7,695,813.17
  5. Step 5: Solve for x
    x = 7,695,813.17/4,277.56
  6. Step 6: Final answer
    x = 1,799.11

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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.