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Finding the Fourth Proportional to 4,798.56, 6,578.82 and 4,711.08

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Solution

The fourth proportional to 4,798.56, 6,578.82 and 4,711.08 is: 6,458.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,798.56 : 6,578.82 = 4,711.08 : x
  2. Step 2: Convert to fraction form
    4,798.56/6,578.82 = 4,711.08/x
  3. Step 3: Cross multiply
    4,798.56x = 6,578.82 × 4,711.08
  4. Step 4: Simplify right side
    4,798.56x = 30,993,347.33
  5. Step 5: Solve for x
    x = 30,993,347.33/4,798.56
  6. Step 6: Final answer
    x = 6,458.89

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.