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Finding the Fourth Proportional to 5,236.63, 7,854.27 and 4,364.58

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Solution

The fourth proportional to 5,236.63, 7,854.27 and 4,364.58 is: 6,546.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,236.63 : 7,854.27 = 4,364.58 : x
  2. Step 2: Convert to fraction form
    5,236.63/7,854.27 = 4,364.58/x
  3. Step 3: Cross multiply
    5,236.63x = 7,854.27 × 4,364.58
  4. Step 4: Simplify right side
    5,236.63x = 34,280,589.76
  5. Step 5: Solve for x
    x = 34,280,589.76/5,236.63
  6. Step 6: Final answer
    x = 6,546.31

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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.