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Finding the Fourth Proportional to 4,552.56, 6,828.99 and 1,779.87

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Solution

The fourth proportional to 4,552.56, 6,828.99 and 1,779.87 is: 2,669.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,552.56 : 6,828.99 = 1,779.87 : x
  2. Step 2: Convert to fraction form
    4,552.56/6,828.99 = 1,779.87/x
  3. Step 3: Cross multiply
    4,552.56x = 6,828.99 × 1,779.87
  4. Step 4: Simplify right side
    4,552.56x = 12,154,714.43
  5. Step 5: Solve for x
    x = 12,154,714.43/4,552.56
  6. Step 6: Final answer
    x = 2,669.86

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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.