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Finding the Fourth Proportional to 4,864.82, 7,297.27 and 1,577.93

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Solution

The fourth proportional to 4,864.82, 7,297.27 and 1,577.93 is: 2,366.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,864.82 : 7,297.27 = 1,577.93 : x
  2. Step 2: Convert to fraction form
    4,864.82/7,297.27 = 1,577.93/x
  3. Step 3: Cross multiply
    4,864.82x = 7,297.27 × 1,577.93
  4. Step 4: Simplify right side
    4,864.82x = 11,514,540.82
  5. Step 5: Solve for x
    x = 11,514,540.82/4,864.82
  6. Step 6: Final answer
    x = 2,366.90

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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.