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Finding the Fourth Proportional to 5,636.49, 8,444.70 and 4,806.34

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Solution

The fourth proportional to 5,636.49, 8,444.70 and 4,806.34 is: 7,200.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,636.49 : 8,444.70 = 4,806.34 : x
  2. Step 2: Convert to fraction form
    5,636.49/8,444.70 = 4,806.34/x
  3. Step 3: Cross multiply
    5,636.49x = 8,444.70 × 4,806.34
  4. Step 4: Simplify right side
    5,636.49x = 40,588,127.98
  5. Step 5: Solve for x
    x = 40,588,127.98/5,636.49
  6. Step 6: Final answer
    x = 7,200.96

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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.