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Finding the Fourth Proportional to 4,699.41, 6,470.42 and 3,989.77

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Solution

The fourth proportional to 4,699.41, 6,470.42 and 3,989.77 is: 5,493.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,699.41 : 6,470.42 = 3,989.77 : x
  2. Step 2: Convert to fraction form
    4,699.41/6,470.42 = 3,989.77/x
  3. Step 3: Cross multiply
    4,699.41x = 6,470.42 × 3,989.77
  4. Step 4: Simplify right side
    4,699.41x = 25,815,497.58
  5. Step 5: Solve for x
    x = 25,815,497.58/4,699.41
  6. Step 6: Final answer
    x = 5,493.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.