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Finding the Fourth Proportional to 4,540.64, 6,807.34 and 4,176.16

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Solution

The fourth proportional to 4,540.64, 6,807.34 and 4,176.16 is: 6,260.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,540.64 : 6,807.34 = 4,176.16 : x
  2. Step 2: Convert to fraction form
    4,540.64/6,807.34 = 4,176.16/x
  3. Step 3: Cross multiply
    4,540.64x = 6,807.34 × 4,176.16
  4. Step 4: Simplify right side
    4,540.64x = 28,428,541.01
  5. Step 5: Solve for x
    x = 28,428,541.01/4,540.64
  6. Step 6: Final answer
    x = 6,260.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.