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Finding the Fourth Proportional to 5,705.76, 8,558.36 and 1,809.66

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Solution

The fourth proportional to 5,705.76, 8,558.36 and 1,809.66 is: 2,714.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.76 : 8,558.36 = 1,809.66 : x
  2. Step 2: Convert to fraction form
    5,705.76/8,558.36 = 1,809.66/x
  3. Step 3: Cross multiply
    5,705.76x = 8,558.36 × 1,809.66
  4. Step 4: Simplify right side
    5,705.76x = 15,487,721.76
  5. Step 5: Solve for x
    x = 15,487,721.76/5,705.76
  6. Step 6: Final answer
    x = 2,714.40

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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.