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Finding the Fourth Proportional to 6,382.36, 8,807.42 and 3,549.70

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Solution

The fourth proportional to 6,382.36, 8,807.42 and 3,549.70 is: 4,898.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382.36 : 8,807.42 = 3,549.70 : x
  2. Step 2: Convert to fraction form
    6,382.36/8,807.42 = 3,549.70/x
  3. Step 3: Cross multiply
    6,382.36x = 8,807.42 × 3,549.70
  4. Step 4: Simplify right side
    6,382.36x = 31,263,698.77
  5. Step 5: Solve for x
    x = 31,263,698.77/6,382.36
  6. Step 6: Final answer
    x = 4,898.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.