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Finding the Fourth Proportional to 5,952.36, 8,209.89 and 4,275.50

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Solution

The fourth proportional to 5,952.36, 8,209.89 and 4,275.50 is: 5,897.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952.36 : 8,209.89 = 4,275.50 : x
  2. Step 2: Convert to fraction form
    5,952.36/8,209.89 = 4,275.50/x
  3. Step 3: Cross multiply
    5,952.36x = 8,209.89 × 4,275.50
  4. Step 4: Simplify right side
    5,952.36x = 35,101,343.65
  5. Step 5: Solve for x
    x = 35,101,343.65/5,952.36
  6. Step 6: Final answer
    x = 5,897.05

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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.