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Finding the Fourth Proportional to 6,461.26, 8,915.14 and 3,807.70

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Solution

The fourth proportional to 6,461.26, 8,915.14 and 3,807.70 is: 5,253.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.26 : 8,915.14 = 3,807.70 : x
  2. Step 2: Convert to fraction form
    6,461.26/8,915.14 = 3,807.70/x
  3. Step 3: Cross multiply
    6,461.26x = 8,915.14 × 3,807.70
  4. Step 4: Simplify right side
    6,461.26x = 33,946,178.58
  5. Step 5: Solve for x
    x = 33,946,178.58/6,461.26
  6. Step 6: Final answer
    x = 5,253.80

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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.