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Finding the Fourth Proportional to 3,006.52, 4,510.28 and 926.53

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Solution

The fourth proportional to 3,006.52, 4,510.28 and 926.53 is: 1,389.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.52 : 4,510.28 = 926.53 : x
  2. Step 2: Convert to fraction form
    3,006.52/4,510.28 = 926.53/x
  3. Step 3: Cross multiply
    3,006.52x = 4,510.28 × 926.53
  4. Step 4: Simplify right side
    3,006.52x = 4,178,896.14
  5. Step 5: Solve for x
    x = 4,178,896.14/3,006.52
  6. Step 6: Final answer
    x = 1,389.94

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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.