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Finding the Fourth Proportional to 5,925.36, 8,178 and 3,535.64

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Solution

The fourth proportional to 5,925.36, 8,178 and 3,535.64 is: 4,879.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,925.36 : 8,178 = 3,535.64 : x
  2. Step 2: Convert to fraction form
    5,925.36/8,178 = 3,535.64/x
  3. Step 3: Cross multiply
    5,925.36x = 8,178 × 3,535.64
  4. Step 4: Simplify right side
    5,925.36x = 28,914,463.92
  5. Step 5: Solve for x
    x = 28,914,463.92/5,925.36
  6. Step 6: Final answer
    x = 4,879.78

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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.