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Finding the Fourth Proportional to 6,275.99, 8,656.07 and 4,596.80

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Solution

The fourth proportional to 6,275.99, 8,656.07 and 4,596.80 is: 6,340.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275.99 : 8,656.07 = 4,596.80 : x
  2. Step 2: Convert to fraction form
    6,275.99/8,656.07 = 4,596.80/x
  3. Step 3: Cross multiply
    6,275.99x = 8,656.07 × 4,596.80
  4. Step 4: Simplify right side
    6,275.99x = 39,790,156.31
  5. Step 5: Solve for x
    x = 39,790,156.31/6,275.99
  6. Step 6: Final answer
    x = 6,340.06

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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.