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Finding the Fourth Proportional to 5,264.94, 7,883.37 and 4,642.14

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Solution

The fourth proportional to 5,264.94, 7,883.37 and 4,642.14 is: 6,950.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264.94 : 7,883.37 = 4,642.14 : x
  2. Step 2: Convert to fraction form
    5,264.94/7,883.37 = 4,642.14/x
  3. Step 3: Cross multiply
    5,264.94x = 7,883.37 × 4,642.14
  4. Step 4: Simplify right side
    5,264.94x = 36,595,707.21
  5. Step 5: Solve for x
    x = 36,595,707.21/5,264.94
  6. Step 6: Final answer
    x = 6,950.83

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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.