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Finding the Fourth Proportional to 3,654.17, 5,482.07 and 1,705.31

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Solution

The fourth proportional to 3,654.17, 5,482.07 and 1,705.31 is: 2,558.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.17 : 5,482.07 = 1,705.31 : x
  2. Step 2: Convert to fraction form
    3,654.17/5,482.07 = 1,705.31/x
  3. Step 3: Cross multiply
    3,654.17x = 5,482.07 × 1,705.31
  4. Step 4: Simplify right side
    3,654.17x = 9,348,640.37
  5. Step 5: Solve for x
    x = 9,348,640.37/3,654.17
  6. Step 6: Final answer
    x = 2,558.35

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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.