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Finding the Fourth Proportional to 5,405.94, 7,459.70 and 3,047.63

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Solution

The fourth proportional to 5,405.94, 7,459.70 and 3,047.63 is: 4,205.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405.94 : 7,459.70 = 3,047.63 : x
  2. Step 2: Convert to fraction form
    5,405.94/7,459.70 = 3,047.63/x
  3. Step 3: Cross multiply
    5,405.94x = 7,459.70 × 3,047.63
  4. Step 4: Simplify right side
    5,405.94x = 22,734,352.97
  5. Step 5: Solve for x
    x = 22,734,352.97/5,405.94
  6. Step 6: Final answer
    x = 4,205.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.