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Finding the Fourth Proportional to 4,925.94, 7,381.62 and 4,561.44

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Solution

The fourth proportional to 4,925.94, 7,381.62 and 4,561.44 is: 6,835.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,925.94 : 7,381.62 = 4,561.44 : x
  2. Step 2: Convert to fraction form
    4,925.94/7,381.62 = 4,561.44/x
  3. Step 3: Cross multiply
    4,925.94x = 7,381.62 × 4,561.44
  4. Step 4: Simplify right side
    4,925.94x = 33,670,816.73
  5. Step 5: Solve for x
    x = 33,670,816.73/4,925.94
  6. Step 6: Final answer
    x = 6,835.41

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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.