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Finding the Fourth Proportional to 4,193.28, 5,783.58 and 4,007.16

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Solution

The fourth proportional to 4,193.28, 5,783.58 and 4,007.16 is: 5,526.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193.28 : 5,783.58 = 4,007.16 : x
  2. Step 2: Convert to fraction form
    4,193.28/5,783.58 = 4,007.16/x
  3. Step 3: Cross multiply
    4,193.28x = 5,783.58 × 4,007.16
  4. Step 4: Simplify right side
    4,193.28x = 23,175,730.43
  5. Step 5: Solve for x
    x = 23,175,730.43/4,193.28
  6. Step 6: Final answer
    x = 5,526.87

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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.