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Finding the Fourth Proportional to 5,671.70, 7,827.80 and 4,083.61

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Solution

The fourth proportional to 5,671.70, 7,827.80 and 4,083.61 is: 5,636.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.70 : 7,827.80 = 4,083.61 : x
  2. Step 2: Convert to fraction form
    5,671.70/7,827.80 = 4,083.61/x
  3. Step 3: Cross multiply
    5,671.70x = 7,827.80 × 4,083.61
  4. Step 4: Simplify right side
    5,671.70x = 31,965,682.36
  5. Step 5: Solve for x
    x = 31,965,682.36/5,671.70
  6. Step 6: Final answer
    x = 5,636.00

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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.