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Finding the Fourth Proportional to 5,642.46, 7,779.24 and 4,314.06

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Solution

The fourth proportional to 5,642.46, 7,779.24 and 4,314.06 is: 5,947.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.46 : 7,779.24 = 4,314.06 : x
  2. Step 2: Convert to fraction form
    5,642.46/7,779.24 = 4,314.06/x
  3. Step 3: Cross multiply
    5,642.46x = 7,779.24 × 4,314.06
  4. Step 4: Simplify right side
    5,642.46x = 33,560,108.11
  5. Step 5: Solve for x
    x = 33,560,108.11/5,642.46
  6. Step 6: Final answer
    x = 5,947.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.