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Finding the Fourth Proportional to 3,482.00, 5,216.05 and 2,094.58

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Solution

The fourth proportional to 3,482.00, 5,216.05 and 2,094.58 is: 3,137.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.00 : 5,216.05 = 2,094.58 : x
  2. Step 2: Convert to fraction form
    3,482.00/5,216.05 = 2,094.58/x
  3. Step 3: Cross multiply
    3,482.00x = 5,216.05 × 2,094.58
  4. Step 4: Simplify right side
    3,482.00x = 10,925,415.73
  5. Step 5: Solve for x
    x = 10,925,415.73/3,482.00
  6. Step 6: Final answer
    x = 3,137.68

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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.