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Finding the Fourth Proportional to 5,234.51, 7,212.88 and 4,865.35

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Solution

The fourth proportional to 5,234.51, 7,212.88 and 4,865.35 is: 6,704.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.51 : 7,212.88 = 4,865.35 : x
  2. Step 2: Convert to fraction form
    5,234.51/7,212.88 = 4,865.35/x
  3. Step 3: Cross multiply
    5,234.51x = 7,212.88 × 4,865.35
  4. Step 4: Simplify right side
    5,234.51x = 35,093,185.71
  5. Step 5: Solve for x
    x = 35,093,185.71/5,234.51
  6. Step 6: Final answer
    x = 6,704.20

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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.