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Finding the Fourth Proportional to 6,182.69, 8,532.33 and 3,530.06

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Solution

The fourth proportional to 6,182.69, 8,532.33 and 3,530.06 is: 4,871.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.69 : 8,532.33 = 3,530.06 : x
  2. Step 2: Convert to fraction form
    6,182.69/8,532.33 = 3,530.06/x
  3. Step 3: Cross multiply
    6,182.69x = 8,532.33 × 3,530.06
  4. Step 4: Simplify right side
    6,182.69x = 30,119,594.18
  5. Step 5: Solve for x
    x = 30,119,594.18/6,182.69
  6. Step 6: Final answer
    x = 4,871.60

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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.