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Finding the Fourth Proportional to 5,809.79, 8,714.69 and 1,427.24

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Solution

The fourth proportional to 5,809.79, 8,714.69 and 1,427.24 is: 2,140.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,809.79 : 8,714.69 = 1,427.24 : x
  2. Step 2: Convert to fraction form
    5,809.79/8,714.69 = 1,427.24/x
  3. Step 3: Cross multiply
    5,809.79x = 8,714.69 × 1,427.24
  4. Step 4: Simplify right side
    5,809.79x = 12,437,968.81
  5. Step 5: Solve for x
    x = 12,437,968.81/5,809.79
  6. Step 6: Final answer
    x = 2,140.87

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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.