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Finding the Fourth Proportional to 5,983, 8,253.71 and 4,215.58

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Solution

The fourth proportional to 5,983, 8,253.71 and 4,215.58 is: 5,815.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,983 : 8,253.71 = 4,215.58 : x
  2. Step 2: Convert to fraction form
    5,983/8,253.71 = 4,215.58/x
  3. Step 3: Cross multiply
    5,983x = 8,253.71 × 4,215.58
  4. Step 4: Simplify right side
    5,983x = 34,794,153.72
  5. Step 5: Solve for x
    x = 34,794,153.72/5,983
  6. Step 6: Final answer
    x = 5,815.50

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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.