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Finding the Fourth Proportional to 5,422.16, 8,113.80 and 4,694.24

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Solution

The fourth proportional to 5,422.16, 8,113.80 and 4,694.24 is: 7,024.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,422.16 : 8,113.80 = 4,694.24 : x
  2. Step 2: Convert to fraction form
    5,422.16/8,113.80 = 4,694.24/x
  3. Step 3: Cross multiply
    5,422.16x = 8,113.80 × 4,694.24
  4. Step 4: Simplify right side
    5,422.16x = 38,088,124.51
  5. Step 5: Solve for x
    x = 38,088,124.51/5,422.16
  6. Step 6: Final answer
    x = 7,024.53

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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.