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Finding the Fourth Proportional to 3,484.44, 4,781.86 and 3,459.84

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Solution

The fourth proportional to 3,484.44, 4,781.86 and 3,459.84 is: 4,748.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.44 : 4,781.86 = 3,459.84 : x
  2. Step 2: Convert to fraction form
    3,484.44/4,781.86 = 3,459.84/x
  3. Step 3: Cross multiply
    3,484.44x = 4,781.86 × 3,459.84
  4. Step 4: Simplify right side
    3,484.44x = 16,544,470.50
  5. Step 5: Solve for x
    x = 16,544,470.50/3,484.44
  6. Step 6: Final answer
    x = 4,748.10

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.