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Finding the Fourth Proportional to 3,669.12, 5,495.04 and 3,052.80

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Solution

The fourth proportional to 3,669.12, 5,495.04 and 3,052.80 is: 4,572.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669.12 : 5,495.04 = 3,052.80 : x
  2. Step 2: Convert to fraction form
    3,669.12/5,495.04 = 3,052.80/x
  3. Step 3: Cross multiply
    3,669.12x = 5,495.04 × 3,052.80
  4. Step 4: Simplify right side
    3,669.12x = 16,775,258.11
  5. Step 5: Solve for x
    x = 16,775,258.11/3,669.12
  6. Step 6: Final answer
    x = 4,572.01

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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.