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Finding the Fourth Proportional to 3,472.02, 5,208.93 and 1,007.03

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Solution

The fourth proportional to 3,472.02, 5,208.93 and 1,007.03 is: 1,510.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.02 : 5,208.93 = 1,007.03 : x
  2. Step 2: Convert to fraction form
    3,472.02/5,208.93 = 1,007.03/x
  3. Step 3: Cross multiply
    3,472.02x = 5,208.93 × 1,007.03
  4. Step 4: Simplify right side
    3,472.02x = 5,245,522.73
  5. Step 5: Solve for x
    x = 5,245,522.73/3,472.02
  6. Step 6: Final answer
    x = 1,510.80

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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.