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Finding the Fourth Proportional to 4,828.84, 7,190.29 and 4,776.68

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Solution

The fourth proportional to 4,828.84, 7,190.29 and 4,776.68 is: 7,112.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,828.84 : 7,190.29 = 4,776.68 : x
  2. Step 2: Convert to fraction form
    4,828.84/7,190.29 = 4,776.68/x
  3. Step 3: Cross multiply
    4,828.84x = 7,190.29 × 4,776.68
  4. Step 4: Simplify right side
    4,828.84x = 34,345,714.44
  5. Step 5: Solve for x
    x = 34,345,714.44/4,828.84
  6. Step 6: Final answer
    x = 7,112.62

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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.