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Finding the Fourth Proportional to 5,405.73, 8,069.50 and 4,749.63

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Solution

The fourth proportional to 5,405.73, 8,069.50 and 4,749.63 is: 7,090.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405.73 : 8,069.50 = 4,749.63 : x
  2. Step 2: Convert to fraction form
    5,405.73/8,069.50 = 4,749.63/x
  3. Step 3: Cross multiply
    5,405.73x = 8,069.50 × 4,749.63
  4. Step 4: Simplify right side
    5,405.73x = 38,327,139.29
  5. Step 5: Solve for x
    x = 38,327,139.29/5,405.73
  6. Step 6: Final answer
    x = 7,090.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.