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Finding the Fourth Proportional to 4,456.70, 6,684.96 and 1,534.94

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Solution

The fourth proportional to 4,456.70, 6,684.96 and 1,534.94 is: 2,302.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,456.70 : 6,684.96 = 1,534.94 : x
  2. Step 2: Convert to fraction form
    4,456.70/6,684.96 = 1,534.94/x
  3. Step 3: Cross multiply
    4,456.70x = 6,684.96 × 1,534.94
  4. Step 4: Simplify right side
    4,456.70x = 10,260,979.08
  5. Step 5: Solve for x
    x = 10,260,979.08/4,456.70
  6. Step 6: Final answer
    x = 2,302.37

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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.