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Finding the Fourth Proportional to 5,579.96, 7,695.68 and 4,065.46

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Solution

The fourth proportional to 5,579.96, 7,695.68 and 4,065.46 is: 5,606.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,579.96 : 7,695.68 = 4,065.46 : x
  2. Step 2: Convert to fraction form
    5,579.96/7,695.68 = 4,065.46/x
  3. Step 3: Cross multiply
    5,579.96x = 7,695.68 × 4,065.46
  4. Step 4: Simplify right side
    5,579.96x = 31,286,439.65
  5. Step 5: Solve for x
    x = 31,286,439.65/5,579.96
  6. Step 6: Final answer
    x = 5,606.93

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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.