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Finding the Fourth Proportional to 5,751.42, 7,926.75 and 4,952.70

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Solution

The fourth proportional to 5,751.42, 7,926.75 and 4,952.70 is: 6,825.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,751.42 : 7,926.75 = 4,952.70 : x
  2. Step 2: Convert to fraction form
    5,751.42/7,926.75 = 4,952.70/x
  3. Step 3: Cross multiply
    5,751.42x = 7,926.75 × 4,952.70
  4. Step 4: Simplify right side
    5,751.42x = 39,258,814.73
  5. Step 5: Solve for x
    x = 39,258,814.73/5,751.42
  6. Step 6: Final answer
    x = 6,825.93

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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.