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Finding the Fourth Proportional to 3,521.54, 5,283.48 and 1,330.46

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Solution

The fourth proportional to 3,521.54, 5,283.48 and 1,330.46 is: 1,996.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,521.54 : 5,283.48 = 1,330.46 : x
  2. Step 2: Convert to fraction form
    3,521.54/5,283.48 = 1,330.46/x
  3. Step 3: Cross multiply
    3,521.54x = 5,283.48 × 1,330.46
  4. Step 4: Simplify right side
    3,521.54x = 7,029,458.80
  5. Step 5: Solve for x
    x = 7,029,458.80/3,521.54
  6. Step 6: Final answer
    x = 1,996.13

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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.