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Finding the Fourth Proportional to 5,115.96, 7,673.46 and 1,653.24

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Solution

The fourth proportional to 5,115.96, 7,673.46 and 1,653.24 is: 2,479.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,115.96 : 7,673.46 = 1,653.24 : x
  2. Step 2: Convert to fraction form
    5,115.96/7,673.46 = 1,653.24/x
  3. Step 3: Cross multiply
    5,115.96x = 7,673.46 × 1,653.24
  4. Step 4: Simplify right side
    5,115.96x = 12,686,071.01
  5. Step 5: Solve for x
    x = 12,686,071.01/5,115.96
  6. Step 6: Final answer
    x = 2,479.70

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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.