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Finding the Fourth Proportional to 3,478.41, 4,804.42 and 2,532.71

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Solution

The fourth proportional to 3,478.41, 4,804.42 and 2,532.71 is: 3,498.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.41 : 4,804.42 = 2,532.71 : x
  2. Step 2: Convert to fraction form
    3,478.41/4,804.42 = 2,532.71/x
  3. Step 3: Cross multiply
    3,478.41x = 4,804.42 × 2,532.71
  4. Step 4: Simplify right side
    3,478.41x = 12,168,202.58
  5. Step 5: Solve for x
    x = 12,168,202.58/3,478.41
  6. Step 6: Final answer
    x = 3,498.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.