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Finding the Fourth Proportional to 4,689.41, 7,033.91 and 1,915.16

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Solution

The fourth proportional to 4,689.41, 7,033.91 and 1,915.16 is: 2,872.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.41 : 7,033.91 = 1,915.16 : x
  2. Step 2: Convert to fraction form
    4,689.41/7,033.91 = 1,915.16/x
  3. Step 3: Cross multiply
    4,689.41x = 7,033.91 × 1,915.16
  4. Step 4: Simplify right side
    4,689.41x = 13,471,018.33
  5. Step 5: Solve for x
    x = 13,471,018.33/4,689.41
  6. Step 6: Final answer
    x = 2,872.65

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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.