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Finding the Fourth Proportional to 6,460, 8,916.42 and 3,806.44

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Solution

The fourth proportional to 6,460, 8,916.42 and 3,806.44 is: 5,253.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460 : 8,916.42 = 3,806.44 : x
  2. Step 2: Convert to fraction form
    6,460/8,916.42 = 3,806.44/x
  3. Step 3: Cross multiply
    6,460x = 8,916.42 × 3,806.44
  4. Step 4: Simplify right side
    6,460x = 33,939,817.74
  5. Step 5: Solve for x
    x = 33,939,817.74/6,460
  6. Step 6: Final answer
    x = 5,253.84

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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.