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Finding the Fourth Proportional to 4,486.70, 6,729.53 and 1,200.05

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Solution

The fourth proportional to 4,486.70, 6,729.53 and 1,200.05 is: 1,799.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,486.70 : 6,729.53 = 1,200.05 : x
  2. Step 2: Convert to fraction form
    4,486.70/6,729.53 = 1,200.05/x
  3. Step 3: Cross multiply
    4,486.70x = 6,729.53 × 1,200.05
  4. Step 4: Simplify right side
    4,486.70x = 8,075,802.67
  5. Step 5: Solve for x
    x = 8,075,802.67/4,486.70
  6. Step 6: Final answer
    x = 1,799.94

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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.