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Finding the Fourth Proportional to 5,094.74, 7,642.38 and 1,808.18

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Solution

The fourth proportional to 5,094.74, 7,642.38 and 1,808.18 is: 2,712.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,094.74 : 7,642.38 = 1,808.18 : x
  2. Step 2: Convert to fraction form
    5,094.74/7,642.38 = 1,808.18/x
  3. Step 3: Cross multiply
    5,094.74x = 7,642.38 × 1,808.18
  4. Step 4: Simplify right side
    5,094.74x = 13,818,798.67
  5. Step 5: Solve for x
    x = 13,818,798.67/5,094.74
  6. Step 6: Final answer
    x = 2,712.37

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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.