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Finding the Fourth Proportional to 4,653.74, 6,968.16 and 3,915.63

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Solution

The fourth proportional to 4,653.74, 6,968.16 and 3,915.63 is: 5,862.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.74 : 6,968.16 = 3,915.63 : x
  2. Step 2: Convert to fraction form
    4,653.74/6,968.16 = 3,915.63/x
  3. Step 3: Cross multiply
    4,653.74x = 6,968.16 × 3,915.63
  4. Step 4: Simplify right side
    4,653.74x = 27,284,736.34
  5. Step 5: Solve for x
    x = 27,284,736.34/4,653.74
  6. Step 6: Final answer
    x = 5,862.98

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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.