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Finding the Fourth Proportional to 3,329.16, 4,994.38 and 1,277

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Solution

The fourth proportional to 3,329.16, 4,994.38 and 1,277 is: 1,915.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,329.16 : 4,994.38 = 1,277 : x
  2. Step 2: Convert to fraction form
    3,329.16/4,994.38 = 1,277/x
  3. Step 3: Cross multiply
    3,329.16x = 4,994.38 × 1,277
  4. Step 4: Simplify right side
    3,329.16x = 6,377,823.26
  5. Step 5: Solve for x
    x = 6,377,823.26/3,329.16
  6. Step 6: Final answer
    x = 1,915.75

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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.