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Finding the Fourth Proportional to 5,422.16, 8,085.88 and 4,824.86

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Solution

The fourth proportional to 5,422.16, 8,085.88 and 4,824.86 is: 7,195.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,422.16 : 8,085.88 = 4,824.86 : x
  2. Step 2: Convert to fraction form
    5,422.16/8,085.88 = 4,824.86/x
  3. Step 3: Cross multiply
    5,422.16x = 8,085.88 × 4,824.86
  4. Step 4: Simplify right side
    5,422.16x = 39,013,238.98
  5. Step 5: Solve for x
    x = 39,013,238.98/5,422.16
  6. Step 6: Final answer
    x = 7,195.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.