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Finding the Fourth Proportional to 3,652.18, 5,478.34 and 1,187

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Solution

The fourth proportional to 3,652.18, 5,478.34 and 1,187 is: 1,780.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.18 : 5,478.34 = 1,187 : x
  2. Step 2: Convert to fraction form
    3,652.18/5,478.34 = 1,187/x
  3. Step 3: Cross multiply
    3,652.18x = 5,478.34 × 1,187
  4. Step 4: Simplify right side
    3,652.18x = 6,502,789.58
  5. Step 5: Solve for x
    x = 6,502,789.58/3,652.18
  6. Step 6: Final answer
    x = 1,780.52

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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.