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Finding the Fourth Proportional to 6,146.35, 8,482.69 and 3,494.15

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Solution

The fourth proportional to 6,146.35, 8,482.69 and 3,494.15 is: 4,822.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146.35 : 8,482.69 = 3,494.15 : x
  2. Step 2: Convert to fraction form
    6,146.35/8,482.69 = 3,494.15/x
  3. Step 3: Cross multiply
    6,146.35x = 8,482.69 × 3,494.15
  4. Step 4: Simplify right side
    6,146.35x = 29,639,773.79
  5. Step 5: Solve for x
    x = 29,639,773.79/6,146.35
  6. Step 6: Final answer
    x = 4,822.34

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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.