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Finding the Fourth Proportional to 6,435.64, 8,881.40 and 3,783

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Solution

The fourth proportional to 6,435.64, 8,881.40 and 3,783 is: 5,220.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,435.64 : 8,881.40 = 3,783 : x
  2. Step 2: Convert to fraction form
    6,435.64/8,881.40 = 3,783/x
  3. Step 3: Cross multiply
    6,435.64x = 8,881.40 × 3,783
  4. Step 4: Simplify right side
    6,435.64x = 33,598,336.20
  5. Step 5: Solve for x
    x = 33,598,336.20/6,435.64
  6. Step 6: Final answer
    x = 5,220.67

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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.