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Finding the Fourth Proportional to 3,567.95, 4,923.43 and 2,075.84

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Solution

The fourth proportional to 3,567.95, 4,923.43 and 2,075.84 is: 2,864.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,567.95 : 4,923.43 = 2,075.84 : x
  2. Step 2: Convert to fraction form
    3,567.95/4,923.43 = 2,075.84/x
  3. Step 3: Cross multiply
    3,567.95x = 4,923.43 × 2,075.84
  4. Step 4: Simplify right side
    3,567.95x = 10,220,223.12
  5. Step 5: Solve for x
    x = 10,220,223.12/3,567.95
  6. Step 6: Final answer
    x = 2,864.46

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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.