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Finding the Fourth Proportional to 6,054.52, 9,032.56 and 5,488.64

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Solution

The fourth proportional to 6,054.52, 9,032.56 and 5,488.64 is: 8,188.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,054.52 : 9,032.56 = 5,488.64 : x
  2. Step 2: Convert to fraction form
    6,054.52/9,032.56 = 5,488.64/x
  3. Step 3: Cross multiply
    6,054.52x = 9,032.56 × 5,488.64
  4. Step 4: Simplify right side
    6,054.52x = 49,576,470.12
  5. Step 5: Solve for x
    x = 49,576,470.12/6,054.52
  6. Step 6: Final answer
    x = 8,188.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.