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Finding the Fourth Proportional to 5,707.64, 8,557.30 and 2,422.20

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Solution

The fourth proportional to 5,707.64, 8,557.30 and 2,422.20 is: 3,631.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,707.64 : 8,557.30 = 2,422.20 : x
  2. Step 2: Convert to fraction form
    5,707.64/8,557.30 = 2,422.20/x
  3. Step 3: Cross multiply
    5,707.64x = 8,557.30 × 2,422.20
  4. Step 4: Simplify right side
    5,707.64x = 20,727,492.06
  5. Step 5: Solve for x
    x = 20,727,492.06/5,707.64
  6. Step 6: Final answer
    x = 3,631.53

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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.