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Finding the Fourth Proportional to 3,353.44, 5,028.72 and 1,300

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Solution

The fourth proportional to 3,353.44, 5,028.72 and 1,300 is: 1,949.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,353.44 : 5,028.72 = 1,300 : x
  2. Step 2: Convert to fraction form
    3,353.44/5,028.72 = 1,300/x
  3. Step 3: Cross multiply
    3,353.44x = 5,028.72 × 1,300
  4. Step 4: Simplify right side
    3,353.44x = 6,537,336
  5. Step 5: Solve for x
    x = 6,537,336/3,353.44
  6. Step 6: Final answer
    x = 1,949.44

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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.