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Finding the Fourth Proportional to 5,710.32, 8,564.94 and 2,935.44

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Solution

The fourth proportional to 5,710.32, 8,564.94 and 2,935.44 is: 4,402.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.32 : 8,564.94 = 2,935.44 : x
  2. Step 2: Convert to fraction form
    5,710.32/8,564.94 = 2,935.44/x
  3. Step 3: Cross multiply
    5,710.32x = 8,564.94 × 2,935.44
  4. Step 4: Simplify right side
    5,710.32x = 25,141,867.47
  5. Step 5: Solve for x
    x = 25,141,867.47/5,710.32
  6. Step 6: Final answer
    x = 4,402.88

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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.