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Finding the Fourth Proportional to 6,460.74, 8,915.00 and 3,807.18

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Solution

The fourth proportional to 6,460.74, 8,915.00 and 3,807.18 is: 5,253.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460.74 : 8,915.00 = 3,807.18 : x
  2. Step 2: Convert to fraction form
    6,460.74/8,915.00 = 3,807.18/x
  3. Step 3: Cross multiply
    6,460.74x = 8,915.00 × 3,807.18
  4. Step 4: Simplify right side
    6,460.74x = 33,940,990.66
  5. Step 5: Solve for x
    x = 33,940,990.66/6,460.74
  6. Step 6: Final answer
    x = 5,253.42

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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.