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Finding the Fourth Proportional to 4,933.52, 6,807.12 and 4,186.32

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Solution

The fourth proportional to 4,933.52, 6,807.12 and 4,186.32 is: 5,776.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,933.52 : 6,807.12 = 4,186.32 : x
  2. Step 2: Convert to fraction form
    4,933.52/6,807.12 = 4,186.32/x
  3. Step 3: Cross multiply
    4,933.52x = 6,807.12 × 4,186.32
  4. Step 4: Simplify right side
    4,933.52x = 28,496,782.60
  5. Step 5: Solve for x
    x = 28,496,782.60/4,933.52
  6. Step 6: Final answer
    x = 5,776.16

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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.