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Finding the Fourth Proportional to 6,185.77, 8,535.98 and 3,532.82

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Solution

The fourth proportional to 6,185.77, 8,535.98 and 3,532.82 is: 4,875.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,185.77 : 8,535.98 = 3,532.82 : x
  2. Step 2: Convert to fraction form
    6,185.77/8,535.98 = 3,532.82/x
  3. Step 3: Cross multiply
    6,185.77x = 8,535.98 × 3,532.82
  4. Step 4: Simplify right side
    6,185.77x = 30,156,047.02
  5. Step 5: Solve for x
    x = 30,156,047.02/6,185.77
  6. Step 6: Final answer
    x = 4,875.07

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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.