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Finding the Fourth Proportional to 5,759.94, 8,643.10 and 5,341.68

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Solution

The fourth proportional to 5,759.94, 8,643.10 and 5,341.68 is: 8,015.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,759.94 : 8,643.10 = 5,341.68 : x
  2. Step 2: Convert to fraction form
    5,759.94/8,643.10 = 5,341.68/x
  3. Step 3: Cross multiply
    5,759.94x = 8,643.10 × 5,341.68
  4. Step 4: Simplify right side
    5,759.94x = 46,168,674.41
  5. Step 5: Solve for x
    x = 46,168,674.41/5,759.94
  6. Step 6: Final answer
    x = 8,015.48

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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.