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Finding the Fourth Proportional to 3,492.81, 5,235.57 and 1,300.59

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Solution

The fourth proportional to 3,492.81, 5,235.57 and 1,300.59 is: 1,949.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.81 : 5,235.57 = 1,300.59 : x
  2. Step 2: Convert to fraction form
    3,492.81/5,235.57 = 1,300.59/x
  3. Step 3: Cross multiply
    3,492.81x = 5,235.57 × 1,300.59
  4. Step 4: Simplify right side
    3,492.81x = 6,809,329.99
  5. Step 5: Solve for x
    x = 6,809,329.99/3,492.81
  6. Step 6: Final answer
    x = 1,949.53

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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.