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Finding the Fourth Proportional to 3,503.52, 4,836.24 and 2,106

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Solution

The fourth proportional to 3,503.52, 4,836.24 and 2,106 is: 2,907.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503.52 : 4,836.24 = 2,106 : x
  2. Step 2: Convert to fraction form
    3,503.52/4,836.24 = 2,106/x
  3. Step 3: Cross multiply
    3,503.52x = 4,836.24 × 2,106
  4. Step 4: Simplify right side
    3,503.52x = 10,185,121.44
  5. Step 5: Solve for x
    x = 10,185,121.44/3,503.52
  6. Step 6: Final answer
    x = 2,907.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.