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Finding the Fourth Proportional to 5,724.02, 7,880.10 and 5,133.54

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Solution

The fourth proportional to 5,724.02, 7,880.10 and 5,133.54 is: 7,067.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724.02 : 7,880.10 = 5,133.54 : x
  2. Step 2: Convert to fraction form
    5,724.02/7,880.10 = 5,133.54/x
  3. Step 3: Cross multiply
    5,724.02x = 7,880.10 × 5,133.54
  4. Step 4: Simplify right side
    5,724.02x = 40,452,808.55
  5. Step 5: Solve for x
    x = 40,452,808.55/5,724.02
  6. Step 6: Final answer
    x = 7,067.20

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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.