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Finding the Fourth Proportional to 4,885.38, 7,328.04 and 1,187.60

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Solution

The fourth proportional to 4,885.38, 7,328.04 and 1,187.60 is: 1,781.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,885.38 : 7,328.04 = 1,187.60 : x
  2. Step 2: Convert to fraction form
    4,885.38/7,328.04 = 1,187.60/x
  3. Step 3: Cross multiply
    4,885.38x = 7,328.04 × 1,187.60
  4. Step 4: Simplify right side
    4,885.38x = 8,702,739.21
  5. Step 5: Solve for x
    x = 8,702,739.21/4,885.38
  6. Step 6: Final answer
    x = 1,781.38

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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.