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Finding the Fourth Proportional to 5,705.60, 8,558.64 and 1,809.64

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Solution

The fourth proportional to 5,705.60, 8,558.64 and 1,809.64 is: 2,714.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.60 : 8,558.64 = 1,809.64 : x
  2. Step 2: Convert to fraction form
    5,705.60/8,558.64 = 1,809.64/x
  3. Step 3: Cross multiply
    5,705.60x = 8,558.64 × 1,809.64
  4. Step 4: Simplify right side
    5,705.60x = 15,488,057.29
  5. Step 5: Solve for x
    x = 15,488,057.29/5,705.60
  6. Step 6: Final answer
    x = 2,714.54

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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.