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Finding the Fourth Proportional to 3,945.84, 5,915.78 and 1,864.62

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Solution

The fourth proportional to 3,945.84, 5,915.78 and 1,864.62 is: 2,795.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,945.84 : 5,915.78 = 1,864.62 : x
  2. Step 2: Convert to fraction form
    3,945.84/5,915.78 = 1,864.62/x
  3. Step 3: Cross multiply
    3,945.84x = 5,915.78 × 1,864.62
  4. Step 4: Simplify right side
    3,945.84x = 11,030,681.70
  5. Step 5: Solve for x
    x = 11,030,681.70/3,945.84
  6. Step 6: Final answer
    x = 2,795.52

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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.