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Finding the Fourth Proportional to 5,486.32, 7,581.63 and 4,157.65

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Solution

The fourth proportional to 5,486.32, 7,581.63 and 4,157.65 is: 5,745.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,486.32 : 7,581.63 = 4,157.65 : x
  2. Step 2: Convert to fraction form
    5,486.32/7,581.63 = 4,157.65/x
  3. Step 3: Cross multiply
    5,486.32x = 7,581.63 × 4,157.65
  4. Step 4: Simplify right side
    5,486.32x = 31,521,763.97
  5. Step 5: Solve for x
    x = 31,521,763.97/5,486.32
  6. Step 6: Final answer
    x = 5,745.52

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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.