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Finding the Fourth Proportional to 5,094.22, 7,642.23 and 1,809.22

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Solution

The fourth proportional to 5,094.22, 7,642.23 and 1,809.22 is: 2,714.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,094.22 : 7,642.23 = 1,809.22 : x
  2. Step 2: Convert to fraction form
    5,094.22/7,642.23 = 1,809.22/x
  3. Step 3: Cross multiply
    5,094.22x = 7,642.23 × 1,809.22
  4. Step 4: Simplify right side
    5,094.22x = 13,826,475.36
  5. Step 5: Solve for x
    x = 13,826,475.36/5,094.22
  6. Step 6: Final answer
    x = 2,714.15

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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.