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Finding the Fourth Proportional to 4,875.12, 6,724.62 and 3,196.62

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Solution

The fourth proportional to 4,875.12, 6,724.62 and 3,196.62 is: 4,409.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,875.12 : 6,724.62 = 3,196.62 : x
  2. Step 2: Convert to fraction form
    4,875.12/6,724.62 = 3,196.62/x
  3. Step 3: Cross multiply
    4,875.12x = 6,724.62 × 3,196.62
  4. Step 4: Simplify right side
    4,875.12x = 21,496,054.78
  5. Step 5: Solve for x
    x = 21,496,054.78/4,875.12
  6. Step 6: Final answer
    x = 4,409.34

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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.