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Finding the Fourth Proportional to 3,671.37, 5,065.86 and 2,099.58

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Solution

The fourth proportional to 3,671.37, 5,065.86 and 2,099.58 is: 2,897.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.37 : 5,065.86 = 2,099.58 : x
  2. Step 2: Convert to fraction form
    3,671.37/5,065.86 = 2,099.58/x
  3. Step 3: Cross multiply
    3,671.37x = 5,065.86 × 2,099.58
  4. Step 4: Simplify right side
    3,671.37x = 10,636,178.34
  5. Step 5: Solve for x
    x = 10,636,178.34/3,671.37
  6. Step 6: Final answer
    x = 2,897.06

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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.