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Finding the Fourth Proportional to 3,257.66, 4,886.92 and 1,065.62

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Solution

The fourth proportional to 3,257.66, 4,886.92 and 1,065.62 is: 1,598.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.66 : 4,886.92 = 1,065.62 : x
  2. Step 2: Convert to fraction form
    3,257.66/4,886.92 = 1,065.62/x
  3. Step 3: Cross multiply
    3,257.66x = 4,886.92 × 1,065.62
  4. Step 4: Simplify right side
    3,257.66x = 5,207,599.69
  5. Step 5: Solve for x
    x = 5,207,599.69/3,257.66
  6. Step 6: Final answer
    x = 1,598.57

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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.