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Finding the Fourth Proportional to 6,276.92, 8,657.34 and 4,597.71

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Solution

The fourth proportional to 6,276.92, 8,657.34 and 4,597.71 is: 6,341.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,276.92 : 8,657.34 = 4,597.71 : x
  2. Step 2: Convert to fraction form
    6,276.92/8,657.34 = 4,597.71/x
  3. Step 3: Cross multiply
    6,276.92x = 8,657.34 × 4,597.71
  4. Step 4: Simplify right side
    6,276.92x = 39,803,938.69
  5. Step 5: Solve for x
    x = 39,803,938.69/6,276.92
  6. Step 6: Final answer
    x = 6,341.32

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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.