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Finding the Fourth Proportional to 5,437.64, 8,144.40 and 4,196

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Solution

The fourth proportional to 5,437.64, 8,144.40 and 4,196 is: 6,284.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,437.64 : 8,144.40 = 4,196 : x
  2. Step 2: Convert to fraction form
    5,437.64/8,144.40 = 4,196/x
  3. Step 3: Cross multiply
    5,437.64x = 8,144.40 × 4,196
  4. Step 4: Simplify right side
    5,437.64x = 34,173,902.40
  5. Step 5: Solve for x
    x = 34,173,902.40/5,437.64
  6. Step 6: Final answer
    x = 6,284.69

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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.