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Finding the Fourth Proportional to 5,636.46, 7,778.70 and 4,151.16

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Solution

The fourth proportional to 5,636.46, 7,778.70 and 4,151.16 is: 5,728.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,636.46 : 7,778.70 = 4,151.16 : x
  2. Step 2: Convert to fraction form
    5,636.46/7,778.70 = 4,151.16/x
  3. Step 3: Cross multiply
    5,636.46x = 7,778.70 × 4,151.16
  4. Step 4: Simplify right side
    5,636.46x = 32,290,628.29
  5. Step 5: Solve for x
    x = 32,290,628.29/5,636.46
  6. Step 6: Final answer
    x = 5,728.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.