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Finding the Fourth Proportional to 6,513.54, 8,989.29 and 3,718.50

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Solution

The fourth proportional to 6,513.54, 8,989.29 and 3,718.50 is: 5,131.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513.54 : 8,989.29 = 3,718.50 : x
  2. Step 2: Convert to fraction form
    6,513.54/8,989.29 = 3,718.50/x
  3. Step 3: Cross multiply
    6,513.54x = 8,989.29 × 3,718.50
  4. Step 4: Simplify right side
    6,513.54x = 33,426,674.87
  5. Step 5: Solve for x
    x = 33,426,674.87/6,513.54
  6. Step 6: Final answer
    x = 5,131.88

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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.