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Finding the Fourth Proportional to 4,580.32, 6,865.80 and 2,116.96

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Solution

The fourth proportional to 4,580.32, 6,865.80 and 2,116.96 is: 3,173.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,580.32 : 6,865.80 = 2,116.96 : x
  2. Step 2: Convert to fraction form
    4,580.32/6,865.80 = 2,116.96/x
  3. Step 3: Cross multiply
    4,580.32x = 6,865.80 × 2,116.96
  4. Step 4: Simplify right side
    4,580.32x = 14,534,623.97
  5. Step 5: Solve for x
    x = 14,534,623.97/4,580.32
  6. Step 6: Final answer
    x = 3,173.28

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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.