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Finding the Fourth Proportional to 5,435.64, 8,141.40 and 4,194

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Solution

The fourth proportional to 5,435.64, 8,141.40 and 4,194 is: 6,281.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,435.64 : 8,141.40 = 4,194 : x
  2. Step 2: Convert to fraction form
    5,435.64/8,141.40 = 4,194/x
  3. Step 3: Cross multiply
    5,435.64x = 8,141.40 × 4,194
  4. Step 4: Simplify right side
    5,435.64x = 34,145,031.60
  5. Step 5: Solve for x
    x = 34,145,031.60/5,435.64
  6. Step 6: Final answer
    x = 6,281.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.