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Finding the Fourth Proportional to 3,037.92, 4,556.52 and 957.84

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Solution

The fourth proportional to 3,037.92, 4,556.52 and 957.84 is: 1,436.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,037.92 : 4,556.52 = 957.84 : x
  2. Step 2: Convert to fraction form
    3,037.92/4,556.52 = 957.84/x
  3. Step 3: Cross multiply
    3,037.92x = 4,556.52 × 957.84
  4. Step 4: Simplify right side
    3,037.92x = 4,364,417.12
  5. Step 5: Solve for x
    x = 4,364,417.12/3,037.92
  6. Step 6: Final answer
    x = 1,436.65

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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.