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Finding the Fourth Proportional to 4,601.06, 6,894.90 and 3,485.70

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Solution

The fourth proportional to 4,601.06, 6,894.90 and 3,485.70 is: 5,223.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,601.06 : 6,894.90 = 3,485.70 : x
  2. Step 2: Convert to fraction form
    4,601.06/6,894.90 = 3,485.70/x
  3. Step 3: Cross multiply
    4,601.06x = 6,894.90 × 3,485.70
  4. Step 4: Simplify right side
    4,601.06x = 24,033,552.93
  5. Step 5: Solve for x
    x = 24,033,552.93/4,601.06
  6. Step 6: Final answer
    x = 5,223.48

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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.