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Finding the Fourth Proportional to 4,536.98, 6,800.66 and 2,585

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Solution

The fourth proportional to 4,536.98, 6,800.66 and 2,585 is: 3,874.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,536.98 : 6,800.66 = 2,585 : x
  2. Step 2: Convert to fraction form
    4,536.98/6,800.66 = 2,585/x
  3. Step 3: Cross multiply
    4,536.98x = 6,800.66 × 2,585
  4. Step 4: Simplify right side
    4,536.98x = 17,579,706.10
  5. Step 5: Solve for x
    x = 17,579,706.10/4,536.98
  6. Step 6: Final answer
    x = 3,874.76

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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.