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Finding the Fourth Proportional to 5,653.16, 8,475.15 and 4,882.31

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Solution

The fourth proportional to 5,653.16, 8,475.15 and 4,882.31 is: 7,319.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653.16 : 8,475.15 = 4,882.31 : x
  2. Step 2: Convert to fraction form
    5,653.16/8,475.15 = 4,882.31/x
  3. Step 3: Cross multiply
    5,653.16x = 8,475.15 × 4,882.31
  4. Step 4: Simplify right side
    5,653.16x = 41,378,309.60
  5. Step 5: Solve for x
    x = 41,378,309.60/5,653.16
  6. Step 6: Final answer
    x = 7,319.50

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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.