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Finding the Fourth Proportional to 4,307.94, 5,936.19 and 4,075.50

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Solution

The fourth proportional to 4,307.94, 5,936.19 and 4,075.50 is: 5,615.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,307.94 : 5,936.19 = 4,075.50 : x
  2. Step 2: Convert to fraction form
    4,307.94/5,936.19 = 4,075.50/x
  3. Step 3: Cross multiply
    4,307.94x = 5,936.19 × 4,075.50
  4. Step 4: Simplify right side
    4,307.94x = 24,192,942.35
  5. Step 5: Solve for x
    x = 24,192,942.35/4,307.94
  6. Step 6: Final answer
    x = 5,615.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.