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Finding the Fourth Proportional to 6,206.51, 8,564.92 and 3,373.88

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Solution

The fourth proportional to 6,206.51, 8,564.92 and 3,373.88 is: 4,655.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.51 : 8,564.92 = 3,373.88 : x
  2. Step 2: Convert to fraction form
    6,206.51/8,564.92 = 3,373.88/x
  3. Step 3: Cross multiply
    6,206.51x = 8,564.92 × 3,373.88
  4. Step 4: Simplify right side
    6,206.51x = 28,897,012.29
  5. Step 5: Solve for x
    x = 28,897,012.29/6,206.51
  6. Step 6: Final answer
    x = 4,655.92

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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.