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Finding the Fourth Proportional to 5,766.76, 7,962.78 and 4,704.67

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Solution

The fourth proportional to 5,766.76, 7,962.78 and 4,704.67 is: 6,496.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766.76 : 7,962.78 = 4,704.67 : x
  2. Step 2: Convert to fraction form
    5,766.76/7,962.78 = 4,704.67/x
  3. Step 3: Cross multiply
    5,766.76x = 7,962.78 × 4,704.67
  4. Step 4: Simplify right side
    5,766.76x = 37,462,252.18
  5. Step 5: Solve for x
    x = 37,462,252.18/5,766.76
  6. Step 6: Final answer
    x = 6,496.24

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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.