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Finding the Fourth Proportional to 5,204.64, 7,767.68 and 4,764

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Solution

The fourth proportional to 5,204.64, 7,767.68 and 4,764 is: 7,110.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.64 : 7,767.68 = 4,764 : x
  2. Step 2: Convert to fraction form
    5,204.64/7,767.68 = 4,764/x
  3. Step 3: Cross multiply
    5,204.64x = 7,767.68 × 4,764
  4. Step 4: Simplify right side
    5,204.64x = 37,005,227.52
  5. Step 5: Solve for x
    x = 37,005,227.52/5,204.64
  6. Step 6: Final answer
    x = 7,110.05

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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.