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Finding the Fourth Proportional to 5,046.48, 7,565.43 and 2,412.48

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Solution

The fourth proportional to 5,046.48, 7,565.43 and 2,412.48 is: 3,616.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046.48 : 7,565.43 = 2,412.48 : x
  2. Step 2: Convert to fraction form
    5,046.48/7,565.43 = 2,412.48/x
  3. Step 3: Cross multiply
    5,046.48x = 7,565.43 × 2,412.48
  4. Step 4: Simplify right side
    5,046.48x = 18,251,448.57
  5. Step 5: Solve for x
    x = 18,251,448.57/5,046.48
  6. Step 6: Final answer
    x = 3,616.67

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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.