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Finding the Fourth Proportional to 3,821.32, 5,706.11 and 3,032.47

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Solution

The fourth proportional to 3,821.32, 5,706.11 and 3,032.47 is: 4,528.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821.32 : 5,706.11 = 3,032.47 : x
  2. Step 2: Convert to fraction form
    3,821.32/5,706.11 = 3,032.47/x
  3. Step 3: Cross multiply
    3,821.32x = 5,706.11 × 3,032.47
  4. Step 4: Simplify right side
    3,821.32x = 17,303,607.39
  5. Step 5: Solve for x
    x = 17,303,607.39/3,821.32
  6. Step 6: Final answer
    x = 4,528.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.