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Finding the Fourth Proportional to 3,485.90, 5,222.76 and 2,904.64

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Solution

The fourth proportional to 3,485.90, 5,222.76 and 2,904.64 is: 4,351.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.90 : 5,222.76 = 2,904.64 : x
  2. Step 2: Convert to fraction form
    3,485.90/5,222.76 = 2,904.64/x
  3. Step 3: Cross multiply
    3,485.90x = 5,222.76 × 2,904.64
  4. Step 4: Simplify right side
    3,485.90x = 15,170,237.61
  5. Step 5: Solve for x
    x = 15,170,237.61/3,485.90
  6. Step 6: Final answer
    x = 4,351.89

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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.