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Finding the Fourth Proportional to 3,775.55, 5,210.45 and 2,096.96

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Solution

The fourth proportional to 3,775.55, 5,210.45 and 2,096.96 is: 2,893.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.55 : 5,210.45 = 2,096.96 : x
  2. Step 2: Convert to fraction form
    3,775.55/5,210.45 = 2,096.96/x
  3. Step 3: Cross multiply
    3,775.55x = 5,210.45 × 2,096.96
  4. Step 4: Simplify right side
    3,775.55x = 10,926,068.69
  5. Step 5: Solve for x
    x = 10,926,068.69/3,775.55
  6. Step 6: Final answer
    x = 2,893.91

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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.