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Finding the Fourth Proportional to 7,054.64, 10,582.28 and 3,932.28

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Solution

The fourth proportional to 7,054.64, 10,582.28 and 3,932.28 is: 5,898.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,054.64 : 10,582.28 = 3,932.28 : x
  2. Step 2: Convert to fraction form
    7,054.64/10,582.28 = 3,932.28/x
  3. Step 3: Cross multiply
    7,054.64x = 10,582.28 × 3,932.28
  4. Step 4: Simplify right side
    7,054.64x = 41,612,488.00
  5. Step 5: Solve for x
    x = 41,612,488.00/7,054.64
  6. Step 6: Final answer
    x = 5,898.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.