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Finding the Fourth Proportional to 4,671.07, 6,992.25 and 4,006.77

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Solution

The fourth proportional to 4,671.07, 6,992.25 and 4,006.77 is: 5,997.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.07 : 6,992.25 = 4,006.77 : x
  2. Step 2: Convert to fraction form
    4,671.07/6,992.25 = 4,006.77/x
  3. Step 3: Cross multiply
    4,671.07x = 6,992.25 × 4,006.77
  4. Step 4: Simplify right side
    4,671.07x = 28,016,307.56
  5. Step 5: Solve for x
    x = 28,016,307.56/4,671.07
  6. Step 6: Final answer
    x = 5,997.84

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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.