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Finding the Fourth Proportional to 3,624.84, 5,434.02 and 1,893.06

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Solution

The fourth proportional to 3,624.84, 5,434.02 and 1,893.06 is: 2,837.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,624.84 : 5,434.02 = 1,893.06 : x
  2. Step 2: Convert to fraction form
    3,624.84/5,434.02 = 1,893.06/x
  3. Step 3: Cross multiply
    3,624.84x = 5,434.02 × 1,893.06
  4. Step 4: Simplify right side
    3,624.84x = 10,286,925.90
  5. Step 5: Solve for x
    x = 10,286,925.90/3,624.84
  6. Step 6: Final answer
    x = 2,837.90

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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.