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Finding the Fourth Proportional to 6,258.96, 8,637.35 and 3,464.46

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Solution

The fourth proportional to 6,258.96, 8,637.35 and 3,464.46 is: 4,780.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,258.96 : 8,637.35 = 3,464.46 : x
  2. Step 2: Convert to fraction form
    6,258.96/8,637.35 = 3,464.46/x
  3. Step 3: Cross multiply
    6,258.96x = 8,637.35 × 3,464.46
  4. Step 4: Simplify right side
    6,258.96x = 29,923,736.26
  5. Step 5: Solve for x
    x = 29,923,736.26/6,258.96
  6. Step 6: Final answer
    x = 4,780.94

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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.