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Finding the Fourth Proportional to 4,805.76, 7,206.06 and 2,464.80

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Solution

The fourth proportional to 4,805.76, 7,206.06 and 2,464.80 is: 3,695.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,805.76 : 7,206.06 = 2,464.80 : x
  2. Step 2: Convert to fraction form
    4,805.76/7,206.06 = 2,464.80/x
  3. Step 3: Cross multiply
    4,805.76x = 7,206.06 × 2,464.80
  4. Step 4: Simplify right side
    4,805.76x = 17,761,539.71
  5. Step 5: Solve for x
    x = 17,761,539.71/4,805.76
  6. Step 6: Final answer
    x = 3,695.89

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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.