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Finding the Fourth Proportional to 3,006.02, 4,506.06 and 1,057.16

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Solution

The fourth proportional to 3,006.02, 4,506.06 and 1,057.16 is: 1,584.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.02 : 4,506.06 = 1,057.16 : x
  2. Step 2: Convert to fraction form
    3,006.02/4,506.06 = 1,057.16/x
  3. Step 3: Cross multiply
    3,006.02x = 4,506.06 × 1,057.16
  4. Step 4: Simplify right side
    3,006.02x = 4,763,626.39
  5. Step 5: Solve for x
    x = 4,763,626.39/3,006.02
  6. Step 6: Final answer
    x = 1,584.70

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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.