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Finding the Fourth Proportional to 4,665.33, 6,998.04 and 1,155.40

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Solution

The fourth proportional to 4,665.33, 6,998.04 and 1,155.40 is: 1,733.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,665.33 : 6,998.04 = 1,155.40 : x
  2. Step 2: Convert to fraction form
    4,665.33/6,998.04 = 1,155.40/x
  3. Step 3: Cross multiply
    4,665.33x = 6,998.04 × 1,155.40
  4. Step 4: Simplify right side
    4,665.33x = 8,085,517.92
  5. Step 5: Solve for x
    x = 8,085,517.92/4,665.33
  6. Step 6: Final answer
    x = 1,733.11

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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.