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Finding the Fourth Proportional to 4,152.64, 5,728.98 and 3,821.08

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Solution

The fourth proportional to 4,152.64, 5,728.98 and 3,821.08 is: 5,271.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,152.64 : 5,728.98 = 3,821.08 : x
  2. Step 2: Convert to fraction form
    4,152.64/5,728.98 = 3,821.08/x
  3. Step 3: Cross multiply
    4,152.64x = 5,728.98 × 3,821.08
  4. Step 4: Simplify right side
    4,152.64x = 21,890,890.90
  5. Step 5: Solve for x
    x = 21,890,890.90/4,152.64
  6. Step 6: Final answer
    x = 5,271.56

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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.