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Finding the Fourth Proportional to 3,277.84, 4,915.99 and 937.78

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Solution

The fourth proportional to 3,277.84, 4,915.99 and 937.78 is: 1,406.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277.84 : 4,915.99 = 937.78 : x
  2. Step 2: Convert to fraction form
    3,277.84/4,915.99 = 937.78/x
  3. Step 3: Cross multiply
    3,277.84x = 4,915.99 × 937.78
  4. Step 4: Simplify right side
    3,277.84x = 4,610,117.10
  5. Step 5: Solve for x
    x = 4,610,117.10/3,277.84
  6. Step 6: Final answer
    x = 1,406.45

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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.