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Finding the Fourth Proportional to 4,331.60, 5,973.36 and 3,971.84

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Solution

The fourth proportional to 4,331.60, 5,973.36 and 3,971.84 is: 5,477.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,331.60 : 5,973.36 = 3,971.84 : x
  2. Step 2: Convert to fraction form
    4,331.60/5,973.36 = 3,971.84/x
  3. Step 3: Cross multiply
    4,331.60x = 5,973.36 × 3,971.84
  4. Step 4: Simplify right side
    4,331.60x = 23,725,230.18
  5. Step 5: Solve for x
    x = 23,725,230.18/4,331.60
  6. Step 6: Final answer
    x = 5,477.24

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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.