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Finding the Fourth Proportional to 3,678.03, 5,075.64 and 1,999.42

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Solution

The fourth proportional to 3,678.03, 5,075.64 and 1,999.42 is: 2,759.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.03 : 5,075.64 = 1,999.42 : x
  2. Step 2: Convert to fraction form
    3,678.03/5,075.64 = 1,999.42/x
  3. Step 3: Cross multiply
    3,678.03x = 5,075.64 × 1,999.42
  4. Step 4: Simplify right side
    3,678.03x = 10,148,319.76
  5. Step 5: Solve for x
    x = 10,148,319.76/3,678.03
  6. Step 6: Final answer
    x = 2,759.17

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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.