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Finding the Fourth Proportional to 6,460.70, 8,915.36 and 3,627.47

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Solution

The fourth proportional to 6,460.70, 8,915.36 and 3,627.47 is: 5,005.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460.70 : 8,915.36 = 3,627.47 : x
  2. Step 2: Convert to fraction form
    6,460.70/8,915.36 = 3,627.47/x
  3. Step 3: Cross multiply
    6,460.70x = 8,915.36 × 3,627.47
  4. Step 4: Simplify right side
    6,460.70x = 32,340,138.23
  5. Step 5: Solve for x
    x = 32,340,138.23/6,460.70
  6. Step 6: Final answer
    x = 5,005.67

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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.