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Finding the Fourth Proportional to 3,567.90, 4,924.12 and 2,075.88

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Solution

The fourth proportional to 3,567.90, 4,924.12 and 2,075.88 is: 2,864.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,567.90 : 4,924.12 = 2,075.88 : x
  2. Step 2: Convert to fraction form
    3,567.90/4,924.12 = 2,075.88/x
  3. Step 3: Cross multiply
    3,567.90x = 4,924.12 × 2,075.88
  4. Step 4: Simplify right side
    3,567.90x = 10,221,882.23
  5. Step 5: Solve for x
    x = 10,221,882.23/3,567.90
  6. Step 6: Final answer
    x = 2,864.96

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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.