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Finding the Fourth Proportional to 3,455.46, 5,178.48 and 2,526.66

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Solution

The fourth proportional to 3,455.46, 5,178.48 and 2,526.66 is: 3,786.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,455.46 : 5,178.48 = 2,526.66 : x
  2. Step 2: Convert to fraction form
    3,455.46/5,178.48 = 2,526.66/x
  3. Step 3: Cross multiply
    3,455.46x = 5,178.48 × 2,526.66
  4. Step 4: Simplify right side
    3,455.46x = 13,084,258.28
  5. Step 5: Solve for x
    x = 13,084,258.28/3,455.46
  6. Step 6: Final answer
    x = 3,786.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.