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Finding the Fourth Proportional to 4,884.74, 7,327.04 and 1,187

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Solution

The fourth proportional to 4,884.74, 7,327.04 and 1,187 is: 1,780.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,884.74 : 7,327.04 = 1,187 : x
  2. Step 2: Convert to fraction form
    4,884.74/7,327.04 = 1,187/x
  3. Step 3: Cross multiply
    4,884.74x = 7,327.04 × 1,187
  4. Step 4: Simplify right side
    4,884.74x = 8,697,196.48
  5. Step 5: Solve for x
    x = 8,697,196.48/4,884.74
  6. Step 6: Final answer
    x = 1,780.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.