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Finding the Fourth Proportional to 4,923.39, 7,367.74 and 3,075.38

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Solution

The fourth proportional to 4,923.39, 7,367.74 and 3,075.38 is: 4,602.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,923.39 : 7,367.74 = 3,075.38 : x
  2. Step 2: Convert to fraction form
    4,923.39/7,367.74 = 3,075.38/x
  3. Step 3: Cross multiply
    4,923.39x = 7,367.74 × 3,075.38
  4. Step 4: Simplify right side
    4,923.39x = 22,658,555.71
  5. Step 5: Solve for x
    x = 22,658,555.71/4,923.39
  6. Step 6: Final answer
    x = 4,602.23

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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.