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Finding the Fourth Proportional to 6,301.98, 8,698.56 and 4,206.10

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Solution

The fourth proportional to 6,301.98, 8,698.56 and 4,206.10 is: 5,805.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.98 : 8,698.56 = 4,206.10 : x
  2. Step 2: Convert to fraction form
    6,301.98/8,698.56 = 4,206.10/x
  3. Step 3: Cross multiply
    6,301.98x = 8,698.56 × 4,206.10
  4. Step 4: Simplify right side
    6,301.98x = 36,587,013.22
  5. Step 5: Solve for x
    x = 36,587,013.22/6,301.98
  6. Step 6: Final answer
    x = 5,805.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.