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Finding the Fourth Proportional to 4,964.46, 6,829.17 and 4,152.54

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Solution

The fourth proportional to 4,964.46, 6,829.17 and 4,152.54 is: 5,712.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.46 : 6,829.17 = 4,152.54 : x
  2. Step 2: Convert to fraction form
    4,964.46/6,829.17 = 4,152.54/x
  3. Step 3: Cross multiply
    4,964.46x = 6,829.17 × 4,152.54
  4. Step 4: Simplify right side
    4,964.46x = 28,358,401.59
  5. Step 5: Solve for x
    x = 28,358,401.59/4,964.46
  6. Step 6: Final answer
    x = 5,712.28

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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.