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Finding the Fourth Proportional to 5,643.73, 7,776.97 and 4,655.94

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Solution

The fourth proportional to 5,643.73, 7,776.97 and 4,655.94 is: 6,415.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.73 : 7,776.97 = 4,655.94 : x
  2. Step 2: Convert to fraction form
    5,643.73/7,776.97 = 4,655.94/x
  3. Step 3: Cross multiply
    5,643.73x = 7,776.97 × 4,655.94
  4. Step 4: Simplify right side
    5,643.73x = 36,209,105.70
  5. Step 5: Solve for x
    x = 36,209,105.70/5,643.73
  6. Step 6: Final answer
    x = 6,415.81

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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.