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Finding the Fourth Proportional to 4,506.60, 6,758.04 and 1,584.21

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Solution

The fourth proportional to 4,506.60, 6,758.04 and 1,584.21 is: 2,375.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,506.60 : 6,758.04 = 1,584.21 : x
  2. Step 2: Convert to fraction form
    4,506.60/6,758.04 = 1,584.21/x
  3. Step 3: Cross multiply
    4,506.60x = 6,758.04 × 1,584.21
  4. Step 4: Simplify right side
    4,506.60x = 10,706,154.55
  5. Step 5: Solve for x
    x = 10,706,154.55/4,506.60
  6. Step 6: Final answer
    x = 2,375.66

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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.