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Finding the Fourth Proportional to 3,389.01, 5,083.47 and 923.82

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Solution

The fourth proportional to 3,389.01, 5,083.47 and 923.82 is: 1,385.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,389.01 : 5,083.47 = 923.82 : x
  2. Step 2: Convert to fraction form
    3,389.01/5,083.47 = 923.82/x
  3. Step 3: Cross multiply
    3,389.01x = 5,083.47 × 923.82
  4. Step 4: Simplify right side
    3,389.01x = 4,696,211.26
  5. Step 5: Solve for x
    x = 4,696,211.26/3,389.01
  6. Step 6: Final answer
    x = 1,385.72

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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.