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Finding the Fourth Proportional to 6,494.55, 8,960.33 and 3,661.57

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Solution

The fourth proportional to 6,494.55, 8,960.33 and 3,661.57 is: 5,051.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.55 : 8,960.33 = 3,661.57 : x
  2. Step 2: Convert to fraction form
    6,494.55/8,960.33 = 3,661.57/x
  3. Step 3: Cross multiply
    6,494.55x = 8,960.33 × 3,661.57
  4. Step 4: Simplify right side
    6,494.55x = 32,808,875.52
  5. Step 5: Solve for x
    x = 32,808,875.52/6,494.55
  6. Step 6: Final answer
    x = 5,051.76

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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.