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Finding the Fourth Proportional to 3,448.60, 4,725.92 and 3,116.45

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Solution

The fourth proportional to 3,448.60, 4,725.92 and 3,116.45 is: 4,270.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,448.60 : 4,725.92 = 3,116.45 : x
  2. Step 2: Convert to fraction form
    3,448.60/4,725.92 = 3,116.45/x
  3. Step 3: Cross multiply
    3,448.60x = 4,725.92 × 3,116.45
  4. Step 4: Simplify right side
    3,448.60x = 14,728,090.93
  5. Step 5: Solve for x
    x = 14,728,090.93/3,448.60
  6. Step 6: Final answer
    x = 4,270.74

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.