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Finding the Fourth Proportional to 3,357.54, 5,036.76 and 1,166.45

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Solution

The fourth proportional to 3,357.54, 5,036.76 and 1,166.45 is: 1,749.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,357.54 : 5,036.76 = 1,166.45 : x
  2. Step 2: Convert to fraction form
    3,357.54/5,036.76 = 1,166.45/x
  3. Step 3: Cross multiply
    3,357.54x = 5,036.76 × 1,166.45
  4. Step 4: Simplify right side
    3,357.54x = 5,875,103.52
  5. Step 5: Solve for x
    x = 5,875,103.52/3,357.54
  6. Step 6: Final answer
    x = 1,749.82

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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.