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Finding the Fourth Proportional to 3,526.39, 5,289.56 and 893.89

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Solution

The fourth proportional to 3,526.39, 5,289.56 and 893.89 is: 1,340.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,526.39 : 5,289.56 = 893.89 : x
  2. Step 2: Convert to fraction form
    3,526.39/5,289.56 = 893.89/x
  3. Step 3: Cross multiply
    3,526.39x = 5,289.56 × 893.89
  4. Step 4: Simplify right side
    3,526.39x = 4,728,253.87
  5. Step 5: Solve for x
    x = 4,728,253.87/3,526.39
  6. Step 6: Final answer
    x = 1,340.82

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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.