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Finding the Fourth Proportional to 4,486.84, 6,730.32 and 1,199.89

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Solution

The fourth proportional to 4,486.84, 6,730.32 and 1,199.89 is: 1,799.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,486.84 : 6,730.32 = 1,199.89 : x
  2. Step 2: Convert to fraction form
    4,486.84/6,730.32 = 1,199.89/x
  3. Step 3: Cross multiply
    4,486.84x = 6,730.32 × 1,199.89
  4. Step 4: Simplify right side
    4,486.84x = 8,075,656.58
  5. Step 5: Solve for x
    x = 8,075,656.58/4,486.84
  6. Step 6: Final answer
    x = 1,799.85

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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.