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Finding the Fourth Proportional to 4,585.81, 6,874.07 and 1,808.66

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Solution

The fourth proportional to 4,585.81, 6,874.07 and 1,808.66 is: 2,711.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,585.81 : 6,874.07 = 1,808.66 : x
  2. Step 2: Convert to fraction form
    4,585.81/6,874.07 = 1,808.66/x
  3. Step 3: Cross multiply
    4,585.81x = 6,874.07 × 1,808.66
  4. Step 4: Simplify right side
    4,585.81x = 12,432,855.45
  5. Step 5: Solve for x
    x = 12,432,855.45/4,585.81
  6. Step 6: Final answer
    x = 2,711.16

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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.