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Finding the Fourth Proportional to 5,406.01, 7,459.77 and 3,415.84

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Solution

The fourth proportional to 5,406.01, 7,459.77 and 3,415.84 is: 4,713.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.01 : 7,459.77 = 3,415.84 : x
  2. Step 2: Convert to fraction form
    5,406.01/7,459.77 = 3,415.84/x
  3. Step 3: Cross multiply
    5,406.01x = 7,459.77 × 3,415.84
  4. Step 4: Simplify right side
    5,406.01x = 25,481,380.76
  5. Step 5: Solve for x
    x = 25,481,380.76/5,406.01
  6. Step 6: Final answer
    x = 4,713.53

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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.