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Finding the Fourth Proportional to 6,421.34, 8,858.85 and 3,902.51

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Solution

The fourth proportional to 6,421.34, 8,858.85 and 3,902.51 is: 5,383.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,421.34 : 8,858.85 = 3,902.51 : x
  2. Step 2: Convert to fraction form
    6,421.34/8,858.85 = 3,902.51/x
  3. Step 3: Cross multiply
    6,421.34x = 8,858.85 × 3,902.51
  4. Step 4: Simplify right side
    6,421.34x = 34,571,750.71
  5. Step 5: Solve for x
    x = 34,571,750.71/6,421.34
  6. Step 6: Final answer
    x = 5,383.88

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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.