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Finding the Fourth Proportional to 3,968.64, 5,445.12 and 3,870.72

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Solution

The fourth proportional to 3,968.64, 5,445.12 and 3,870.72 is: 5,310.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.64 : 5,445.12 = 3,870.72 : x
  2. Step 2: Convert to fraction form
    3,968.64/5,445.12 = 3,870.72/x
  3. Step 3: Cross multiply
    3,968.64x = 5,445.12 × 3,870.72
  4. Step 4: Simplify right side
    3,968.64x = 21,076,534.89
  5. Step 5: Solve for x
    x = 21,076,534.89/3,968.64
  6. Step 6: Final answer
    x = 5,310.77

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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.