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Finding the Fourth Proportional to 4,536.98, 6,803.72 and 1,763.29

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Solution

The fourth proportional to 4,536.98, 6,803.72 and 1,763.29 is: 2,644.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,536.98 : 6,803.72 = 1,763.29 : x
  2. Step 2: Convert to fraction form
    4,536.98/6,803.72 = 1,763.29/x
  3. Step 3: Cross multiply
    4,536.98x = 6,803.72 × 1,763.29
  4. Step 4: Simplify right side
    4,536.98x = 11,996,897.42
  5. Step 5: Solve for x
    x = 11,996,897.42/4,536.98
  6. Step 6: Final answer
    x = 2,644.25

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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.