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Finding the Fourth Proportional to 4,505.40, 6,758.10 and 3,684.60

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Solution

The fourth proportional to 4,505.40, 6,758.10 and 3,684.60 is: 5,526.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,505.40 : 6,758.10 = 3,684.60 : x
  2. Step 2: Convert to fraction form
    4,505.40/6,758.10 = 3,684.60/x
  3. Step 3: Cross multiply
    4,505.40x = 6,758.10 × 3,684.60
  4. Step 4: Simplify right side
    4,505.40x = 24,900,895.26
  5. Step 5: Solve for x
    x = 24,900,895.26/4,505.40
  6. Step 6: Final answer
    x = 5,526.90

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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.