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Finding the Fourth Proportional to 4,702.31, 6,483.86 and 2,998.54

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Solution

The fourth proportional to 4,702.31, 6,483.86 and 2,998.54 is: 4,134.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.31 : 6,483.86 = 2,998.54 : x
  2. Step 2: Convert to fraction form
    4,702.31/6,483.86 = 2,998.54/x
  3. Step 3: Cross multiply
    4,702.31x = 6,483.86 × 2,998.54
  4. Step 4: Simplify right side
    4,702.31x = 19,442,113.56
  5. Step 5: Solve for x
    x = 19,442,113.56/4,702.31
  6. Step 6: Final answer
    x = 4,134.59

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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.