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Finding the Fourth Proportional to 3,409.00, 5,113.56 and 1,068.95

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Solution

The fourth proportional to 3,409.00, 5,113.56 and 1,068.95 is: 1,603.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.00 : 5,113.56 = 1,068.95 : x
  2. Step 2: Convert to fraction form
    3,409.00/5,113.56 = 1,068.95/x
  3. Step 3: Cross multiply
    3,409.00x = 5,113.56 × 1,068.95
  4. Step 4: Simplify right side
    3,409.00x = 5,466,118.97
  5. Step 5: Solve for x
    x = 5,466,118.97/3,409.00
  6. Step 6: Final answer
    x = 1,603.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.