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Finding the Fourth Proportional to 4,926.96, 7,392.19 and 3,075.94

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Solution

The fourth proportional to 4,926.96, 7,392.19 and 3,075.94 is: 4,615.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,926.96 : 7,392.19 = 3,075.94 : x
  2. Step 2: Convert to fraction form
    4,926.96/7,392.19 = 3,075.94/x
  3. Step 3: Cross multiply
    4,926.96x = 7,392.19 × 3,075.94
  4. Step 4: Simplify right side
    4,926.96x = 22,737,932.91
  5. Step 5: Solve for x
    x = 22,737,932.91/4,926.96
  6. Step 6: Final answer
    x = 4,615.00

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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.