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Finding the Fourth Proportional to 6,292.99, 8,684.21 and 4,303.48

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Solution

The fourth proportional to 6,292.99, 8,684.21 and 4,303.48 is: 5,938.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292.99 : 8,684.21 = 4,303.48 : x
  2. Step 2: Convert to fraction form
    6,292.99/8,684.21 = 4,303.48/x
  3. Step 3: Cross multiply
    6,292.99x = 8,684.21 × 4,303.48
  4. Step 4: Simplify right side
    6,292.99x = 37,372,329.38
  5. Step 5: Solve for x
    x = 37,372,329.38/6,292.99
  6. Step 6: Final answer
    x = 5,938.72

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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.