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Finding the Fourth Proportional to 3,038.58, 4,556.05 and 1,187.49

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Solution

The fourth proportional to 3,038.58, 4,556.05 and 1,187.49 is: 1,780.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,038.58 : 4,556.05 = 1,187.49 : x
  2. Step 2: Convert to fraction form
    3,038.58/4,556.05 = 1,187.49/x
  3. Step 3: Cross multiply
    3,038.58x = 4,556.05 × 1,187.49
  4. Step 4: Simplify right side
    3,038.58x = 5,410,273.84
  5. Step 5: Solve for x
    x = 5,410,273.84/3,038.58
  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.