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Finding the Fourth Proportional to 5,095.85, 7,642.05 and 1,808.47

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Solution

The fourth proportional to 5,095.85, 7,642.05 and 1,808.47 is: 2,712.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,095.85 : 7,642.05 = 1,808.47 : x
  2. Step 2: Convert to fraction form
    5,095.85/7,642.05 = 1,808.47/x
  3. Step 3: Cross multiply
    5,095.85x = 7,642.05 × 1,808.47
  4. Step 4: Simplify right side
    5,095.85x = 13,820,418.16
  5. Step 5: Solve for x
    x = 13,820,418.16/5,095.85
  6. Step 6: Final answer
    x = 2,712.09

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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.