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Finding the Fourth Proportional to 7,730.94, 11,597.98 and 3,288.60

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Solution

The fourth proportional to 7,730.94, 11,597.98 and 3,288.60 is: 4,933.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730.94 : 11,597.98 = 3,288.60 : x
  2. Step 2: Convert to fraction form
    7,730.94/11,597.98 = 3,288.60/x
  3. Step 3: Cross multiply
    7,730.94x = 11,597.98 × 3,288.60
  4. Step 4: Simplify right side
    7,730.94x = 38,141,117.03
  5. Step 5: Solve for x
    x = 38,141,117.03/7,730.94
  6. Step 6: Final answer
    x = 4,933.57

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Why These Related Problems?

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