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Finding the Fourth Proportional to 3,264.48, 4,896 and 2,720.16

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Solution

The fourth proportional to 3,264.48, 4,896 and 2,720.16 is: 4,079.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.48 : 4,896 = 2,720.16 : x
  2. Step 2: Convert to fraction form
    3,264.48/4,896 = 2,720.16/x
  3. Step 3: Cross multiply
    3,264.48x = 4,896 × 2,720.16
  4. Step 4: Simplify right side
    3,264.48x = 13,317,903.36
  5. Step 5: Solve for x
    x = 13,317,903.36/3,264.48
  6. Step 6: Final answer
    x = 4,079.64

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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.