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Finding the Fourth Proportional to 5,539.46, 7,633.44 and 5,470.47

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Solution

The fourth proportional to 5,539.46, 7,633.44 and 5,470.47 is: 7,538.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,539.46 : 7,633.44 = 5,470.47 : x
  2. Step 2: Convert to fraction form
    5,539.46/7,633.44 = 5,470.47/x
  3. Step 3: Cross multiply
    5,539.46x = 7,633.44 × 5,470.47
  4. Step 4: Simplify right side
    5,539.46x = 41,758,504.52
  5. Step 5: Solve for x
    x = 41,758,504.52/5,539.46
  6. Step 6: Final answer
    x = 7,538.38

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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.