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Finding the Fourth Proportional to 4,536.06, 6,802.80 and 1,613.98

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Solution

The fourth proportional to 4,536.06, 6,802.80 and 1,613.98 is: 2,420.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,536.06 : 6,802.80 = 1,613.98 : x
  2. Step 2: Convert to fraction form
    4,536.06/6,802.80 = 1,613.98/x
  3. Step 3: Cross multiply
    4,536.06x = 6,802.80 × 1,613.98
  4. Step 4: Simplify right side
    4,536.06x = 10,979,583.14
  5. Step 5: Solve for x
    x = 10,979,583.14/4,536.06
  6. Step 6: Final answer
    x = 2,420.51

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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.