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Finding the Fourth Proportional to 5,952.60, 8,214.67 and 3,264.08

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Solution

The fourth proportional to 5,952.60, 8,214.67 and 3,264.08 is: 4,504.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952.60 : 8,214.67 = 3,264.08 : x
  2. Step 2: Convert to fraction form
    5,952.60/8,214.67 = 3,264.08/x
  3. Step 3: Cross multiply
    5,952.60x = 8,214.67 × 3,264.08
  4. Step 4: Simplify right side
    5,952.60x = 26,813,303.06
  5. Step 5: Solve for x
    x = 26,813,303.06/5,952.60
  6. Step 6: Final answer
    x = 4,504.47

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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.