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Finding the Fourth Proportional to 6,460.46, 8,915.71 and 3,666.22

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Solution

The fourth proportional to 6,460.46, 8,915.71 and 3,666.22 is: 5,059.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460.46 : 8,915.71 = 3,666.22 : x
  2. Step 2: Convert to fraction form
    6,460.46/8,915.71 = 3,666.22/x
  3. Step 3: Cross multiply
    6,460.46x = 8,915.71 × 3,666.22
  4. Step 4: Simplify right side
    6,460.46x = 32,686,954.32
  5. Step 5: Solve for x
    x = 32,686,954.32/6,460.46
  6. Step 6: Final answer
    x = 5,059.54

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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.