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Finding the Fourth Proportional to 3,460.80, 5,187.36 and 1,380

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Solution

The fourth proportional to 3,460.80, 5,187.36 and 1,380 is: 2,068.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.80 : 5,187.36 = 1,380 : x
  2. Step 2: Convert to fraction form
    3,460.80/5,187.36 = 1,380/x
  3. Step 3: Cross multiply
    3,460.80x = 5,187.36 × 1,380
  4. Step 4: Simplify right side
    3,460.80x = 7,158,556.80
  5. Step 5: Solve for x
    x = 7,158,556.80/3,460.80
  6. Step 6: Final answer
    x = 2,068.47

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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.