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Finding the Fourth Proportional to 4,705.31, 7,056.48 and 1,702.96

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Solution

The fourth proportional to 4,705.31, 7,056.48 and 1,702.96 is: 2,553.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.31 : 7,056.48 = 1,702.96 : x
  2. Step 2: Convert to fraction form
    4,705.31/7,056.48 = 1,702.96/x
  3. Step 3: Cross multiply
    4,705.31x = 7,056.48 × 1,702.96
  4. Step 4: Simplify right side
    4,705.31x = 12,016,879.15
  5. Step 5: Solve for x
    x = 12,016,879.15/4,705.31
  6. Step 6: Final answer
    x = 2,553.90

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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.