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Finding the Fourth Proportional to 4,536.34, 6,802.08 and 1,865.59

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Solution

The fourth proportional to 4,536.34, 6,802.08 and 1,865.59 is: 2,797.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,536.34 : 6,802.08 = 1,865.59 : x
  2. Step 2: Convert to fraction form
    4,536.34/6,802.08 = 1,865.59/x
  3. Step 3: Cross multiply
    4,536.34x = 6,802.08 × 1,865.59
  4. Step 4: Simplify right side
    4,536.34x = 12,689,892.43
  5. Step 5: Solve for x
    x = 12,689,892.43/4,536.34
  6. Step 6: Final answer
    x = 2,797.39

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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.