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Finding the Fourth Proportional to 7,317.75, 10,978.01 and 2,935.55

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Solution

The fourth proportional to 7,317.75, 10,978.01 and 2,935.55 is: 4,403.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,317.75 : 10,978.01 = 2,935.55 : x
  2. Step 2: Convert to fraction form
    7,317.75/10,978.01 = 2,935.55/x
  3. Step 3: Cross multiply
    7,317.75x = 10,978.01 × 2,935.55
  4. Step 4: Simplify right side
    7,317.75x = 32,226,497.26
  5. Step 5: Solve for x
    x = 32,226,497.26/7,317.75
  6. Step 6: Final answer
    x = 4,403.88

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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.