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Finding the Fourth Proportional to 4,915.89, 6,786.69 and 3,405.65

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Solution

The fourth proportional to 4,915.89, 6,786.69 and 3,405.65 is: 4,701.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,915.89 : 6,786.69 = 3,405.65 : x
  2. Step 2: Convert to fraction form
    4,915.89/6,786.69 = 3,405.65/x
  3. Step 3: Cross multiply
    4,915.89x = 6,786.69 × 3,405.65
  4. Step 4: Simplify right side
    4,915.89x = 23,113,044.09
  5. Step 5: Solve for x
    x = 23,113,044.09/4,915.89
  6. Step 6: Final answer
    x = 4,701.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.