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Finding the Fourth Proportional to 3,488.51, 5,233.32 and 1,147.83

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Solution

The fourth proportional to 3,488.51, 5,233.32 and 1,147.83 is: 1,721.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.51 : 5,233.32 = 1,147.83 : x
  2. Step 2: Convert to fraction form
    3,488.51/5,233.32 = 1,147.83/x
  3. Step 3: Cross multiply
    3,488.51x = 5,233.32 × 1,147.83
  4. Step 4: Simplify right side
    3,488.51x = 6,006,961.70
  5. Step 5: Solve for x
    x = 6,006,961.70/3,488.51
  6. Step 6: Final answer
    x = 1,721.93

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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.