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Finding the Fourth Proportional to 6,112.48, 8,435.16 and 3,459.84

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Solution

The fourth proportional to 6,112.48, 8,435.16 and 3,459.84 is: 4,774.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,112.48 : 8,435.16 = 3,459.84 : x
  2. Step 2: Convert to fraction form
    6,112.48/8,435.16 = 3,459.84/x
  3. Step 3: Cross multiply
    6,112.48x = 8,435.16 × 3,459.84
  4. Step 4: Simplify right side
    6,112.48x = 29,184,303.97
  5. Step 5: Solve for x
    x = 29,184,303.97/6,112.48
  6. Step 6: Final answer
    x = 4,774.54

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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.