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Finding the Fourth Proportional to 4,642.30, 6,942.79 and 4,125.93

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Solution

The fourth proportional to 4,642.30, 6,942.79 and 4,125.93 is: 6,170.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.30 : 6,942.79 = 4,125.93 : x
  2. Step 2: Convert to fraction form
    4,642.30/6,942.79 = 4,125.93/x
  3. Step 3: Cross multiply
    4,642.30x = 6,942.79 × 4,125.93
  4. Step 4: Simplify right side
    4,642.30x = 28,645,465.54
  5. Step 5: Solve for x
    x = 28,645,465.54/4,642.30
  6. Step 6: Final answer
    x = 6,170.53

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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.