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Finding the Fourth Proportional to 3,525.96, 4,864.16 and 2,478.62

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Solution

The fourth proportional to 3,525.96, 4,864.16 and 2,478.62 is: 3,419.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,525.96 : 4,864.16 = 2,478.62 : x
  2. Step 2: Convert to fraction form
    3,525.96/4,864.16 = 2,478.62/x
  3. Step 3: Cross multiply
    3,525.96x = 4,864.16 × 2,478.62
  4. Step 4: Simplify right side
    3,525.96x = 12,056,404.26
  5. Step 5: Solve for x
    x = 12,056,404.26/3,525.96
  6. Step 6: Final answer
    x = 3,419.33

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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.