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Finding the Fourth Proportional to 6,309.71, 8,707.57 and 3,477.39

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Solution

The fourth proportional to 6,309.71, 8,707.57 and 3,477.39 is: 4,798.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.71 : 8,707.57 = 3,477.39 : x
  2. Step 2: Convert to fraction form
    6,309.71/8,707.57 = 3,477.39/x
  3. Step 3: Cross multiply
    6,309.71x = 8,707.57 × 3,477.39
  4. Step 4: Simplify right side
    6,309.71x = 30,279,599.46
  5. Step 5: Solve for x
    x = 30,279,599.46/6,309.71
  6. Step 6: Final answer
    x = 4,798.89

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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.