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Finding the Fourth Proportional to 5,408.77, 7,459.09 and 3,415.86

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Solution

The fourth proportional to 5,408.77, 7,459.09 and 3,415.86 is: 4,710.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408.77 : 7,459.09 = 3,415.86 : x
  2. Step 2: Convert to fraction form
    5,408.77/7,459.09 = 3,415.86/x
  3. Step 3: Cross multiply
    5,408.77x = 7,459.09 × 3,415.86
  4. Step 4: Simplify right side
    5,408.77x = 25,479,207.17
  5. Step 5: Solve for x
    x = 25,479,207.17/5,408.77
  6. Step 6: Final answer
    x = 4,710.72

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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.