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Finding the Fourth Proportional to 5,962.57, 8,945.28 and 1,802.32

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Solution

The fourth proportional to 5,962.57, 8,945.28 and 1,802.32 is: 2,703.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,962.57 : 8,945.28 = 1,802.32 : x
  2. Step 2: Convert to fraction form
    5,962.57/8,945.28 = 1,802.32/x
  3. Step 3: Cross multiply
    5,962.57x = 8,945.28 × 1,802.32
  4. Step 4: Simplify right side
    5,962.57x = 16,122,257.05
  5. Step 5: Solve for x
    x = 16,122,257.05/5,962.57
  6. Step 6: Final answer
    x = 2,703.91

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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.