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Finding the Fourth Proportional to 4,536.61, 6,807 and 2,072.18

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Solution

The fourth proportional to 4,536.61, 6,807 and 2,072.18 is: 3,109.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,536.61 : 6,807 = 2,072.18 : x
  2. Step 2: Convert to fraction form
    4,536.61/6,807 = 2,072.18/x
  3. Step 3: Cross multiply
    4,536.61x = 6,807 × 2,072.18
  4. Step 4: Simplify right side
    4,536.61x = 14,105,329.26
  5. Step 5: Solve for x
    x = 14,105,329.26/4,536.61
  6. Step 6: Final answer
    x = 3,109.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.