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Finding the Fourth Proportional to 4,033.68, 6,046.74 and 1,570.08

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Solution

The fourth proportional to 4,033.68, 6,046.74 and 1,570.08 is: 2,353.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,033.68 : 6,046.74 = 1,570.08 : x
  2. Step 2: Convert to fraction form
    4,033.68/6,046.74 = 1,570.08/x
  3. Step 3: Cross multiply
    4,033.68x = 6,046.74 × 1,570.08
  4. Step 4: Simplify right side
    4,033.68x = 9,493,865.54
  5. Step 5: Solve for x
    x = 9,493,865.54/4,033.68
  6. Step 6: Final answer
    x = 2,353.65

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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.