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Finding the Fourth Proportional to 3,075.84, 4,612.68 and 1,904.04

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Solution

The fourth proportional to 3,075.84, 4,612.68 and 1,904.04 is: 2,855.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.84 : 4,612.68 = 1,904.04 : x
  2. Step 2: Convert to fraction form
    3,075.84/4,612.68 = 1,904.04/x
  3. Step 3: Cross multiply
    3,075.84x = 4,612.68 × 1,904.04
  4. Step 4: Simplify right side
    3,075.84x = 8,782,727.23
  5. Step 5: Solve for x
    x = 8,782,727.23/3,075.84
  6. Step 6: Final answer
    x = 2,855.39

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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.