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Finding the Fourth Proportional to 3,521.66, 5,282.51 and 889.16

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Solution

The fourth proportional to 3,521.66, 5,282.51 and 889.16 is: 1,333.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,521.66 : 5,282.51 = 889.16 : x
  2. Step 2: Convert to fraction form
    3,521.66/5,282.51 = 889.16/x
  3. Step 3: Cross multiply
    3,521.66x = 5,282.51 × 889.16
  4. Step 4: Simplify right side
    3,521.66x = 4,696,965.73
  5. Step 5: Solve for x
    x = 4,696,965.73/3,521.66
  6. Step 6: Final answer
    x = 1,333.74

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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.