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Finding the Fourth Proportional to 4,712.34, 7,065.93 and 3,046.23

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Solution

The fourth proportional to 4,712.34, 7,065.93 and 3,046.23 is: 4,567.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712.34 : 7,065.93 = 3,046.23 : x
  2. Step 2: Convert to fraction form
    4,712.34/7,065.93 = 3,046.23/x
  3. Step 3: Cross multiply
    4,712.34x = 7,065.93 × 3,046.23
  4. Step 4: Simplify right side
    4,712.34x = 21,524,447.94
  5. Step 5: Solve for x
    x = 21,524,447.94/4,712.34
  6. Step 6: Final answer
    x = 4,567.68

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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.