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Finding the Fourth Proportional to 3,428.64, 4,718.88 and 2,923.20

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Solution

The fourth proportional to 3,428.64, 4,718.88 and 2,923.20 is: 4,023.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.64 : 4,718.88 = 2,923.20 : x
  2. Step 2: Convert to fraction form
    3,428.64/4,718.88 = 2,923.20/x
  3. Step 3: Cross multiply
    3,428.64x = 4,718.88 × 2,923.20
  4. Step 4: Simplify right side
    3,428.64x = 13,794,230.02
  5. Step 5: Solve for x
    x = 13,794,230.02/3,428.64
  6. Step 6: Final answer
    x = 4,023.24

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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.