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Finding the Fourth Proportional to 4,728.84, 7,041.48 and 4,676.64

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Solution

The fourth proportional to 4,728.84, 7,041.48 and 4,676.64 is: 6,963.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,728.84 : 7,041.48 = 4,676.64 : x
  2. Step 2: Convert to fraction form
    4,728.84/7,041.48 = 4,676.64/x
  3. Step 3: Cross multiply
    4,728.84x = 7,041.48 × 4,676.64
  4. Step 4: Simplify right side
    4,728.84x = 32,930,467.03
  5. Step 5: Solve for x
    x = 32,930,467.03/4,728.84
  6. Step 6: Final answer
    x = 6,963.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.