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Finding the Fourth Proportional to 5,924.61, 8,175.80 and 3,235.82

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Solution

The fourth proportional to 5,924.61, 8,175.80 and 3,235.82 is: 4,465.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,924.61 : 8,175.80 = 3,235.82 : x
  2. Step 2: Convert to fraction form
    5,924.61/8,175.80 = 3,235.82/x
  3. Step 3: Cross multiply
    5,924.61x = 8,175.80 × 3,235.82
  4. Step 4: Simplify right side
    5,924.61x = 26,455,384.37
  5. Step 5: Solve for x
    x = 26,455,384.37/5,924.61
  6. Step 6: Final answer
    x = 4,465.34

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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.