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Finding the Fourth Proportional to 5,264.64, 7,885.44 and 3,720.96

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Solution

The fourth proportional to 5,264.64, 7,885.44 and 3,720.96 is: 5,573.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264.64 : 7,885.44 = 3,720.96 : x
  2. Step 2: Convert to fraction form
    5,264.64/7,885.44 = 3,720.96/x
  3. Step 3: Cross multiply
    5,264.64x = 7,885.44 × 3,720.96
  4. Step 4: Simplify right side
    5,264.64x = 29,341,406.82
  5. Step 5: Solve for x
    x = 29,341,406.82/5,264.64
  6. Step 6: Final answer
    x = 5,573.30

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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.