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Finding the Fourth Proportional to 6,164.65, 8,510.82 and 3,928.42

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Solution

The fourth proportional to 6,164.65, 8,510.82 and 3,928.42 is: 5,423.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.65 : 8,510.82 = 3,928.42 : x
  2. Step 2: Convert to fraction form
    6,164.65/8,510.82 = 3,928.42/x
  3. Step 3: Cross multiply
    6,164.65x = 8,510.82 × 3,928.42
  4. Step 4: Simplify right side
    6,164.65x = 33,434,075.50
  5. Step 5: Solve for x
    x = 33,434,075.50/6,164.65
  6. Step 6: Final answer
    x = 5,423.52

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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.