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Finding the Fourth Proportional to 6,544.72, 9,818.52 and 3,085.84

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Solution

The fourth proportional to 6,544.72, 9,818.52 and 3,085.84 is: 4,629.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,544.72 : 9,818.52 = 3,085.84 : x
  2. Step 2: Convert to fraction form
    6,544.72/9,818.52 = 3,085.84/x
  3. Step 3: Cross multiply
    6,544.72x = 9,818.52 × 3,085.84
  4. Step 4: Simplify right side
    6,544.72x = 30,298,381.76
  5. Step 5: Solve for x
    x = 30,298,381.76/6,544.72
  6. Step 6: Final answer
    x = 4,629.44

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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.