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Finding the Fourth Proportional to 4,673.60, 7,013.88 and 2,209.18

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Solution

The fourth proportional to 4,673.60, 7,013.88 and 2,209.18 is: 3,315.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.60 : 7,013.88 = 2,209.18 : x
  2. Step 2: Convert to fraction form
    4,673.60/7,013.88 = 2,209.18/x
  3. Step 3: Cross multiply
    4,673.60x = 7,013.88 × 2,209.18
  4. Step 4: Simplify right side
    4,673.60x = 15,494,877.30
  5. Step 5: Solve for x
    x = 15,494,877.30/4,673.60
  6. Step 6: Final answer
    x = 3,315.41

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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.