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Finding the Fourth Proportional to 5,643.60, 8,467.20 and 2,522.40

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Solution

The fourth proportional to 5,643.60, 8,467.20 and 2,522.40 is: 3,784.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.60 : 8,467.20 = 2,522.40 : x
  2. Step 2: Convert to fraction form
    5,643.60/8,467.20 = 2,522.40/x
  3. Step 3: Cross multiply
    5,643.60x = 8,467.20 × 2,522.40
  4. Step 4: Simplify right side
    5,643.60x = 21,357,665.28
  5. Step 5: Solve for x
    x = 21,357,665.28/5,643.60
  6. Step 6: Final answer
    x = 3,784.40

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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.