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Finding the Fourth Proportional to 3,461.87, 5,187.80 and 1,484.75

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Solution

The fourth proportional to 3,461.87, 5,187.80 and 1,484.75 is: 2,224.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.87 : 5,187.80 = 1,484.75 : x
  2. Step 2: Convert to fraction form
    3,461.87/5,187.80 = 1,484.75/x
  3. Step 3: Cross multiply
    3,461.87x = 5,187.80 × 1,484.75
  4. Step 4: Simplify right side
    3,461.87x = 7,702,602.73
  5. Step 5: Solve for x
    x = 7,702,602.73/3,461.87
  6. Step 6: Final answer
    x = 2,224.98

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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.