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Finding the Fourth Proportional to 5,878.14, 8,817.78 and 1,718.06

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Solution

The fourth proportional to 5,878.14, 8,817.78 and 1,718.06 is: 2,577.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,878.14 : 8,817.78 = 1,718.06 : x
  2. Step 2: Convert to fraction form
    5,878.14/8,817.78 = 1,718.06/x
  3. Step 3: Cross multiply
    5,878.14x = 8,817.78 × 1,718.06
  4. Step 4: Simplify right side
    5,878.14x = 15,149,426.72
  5. Step 5: Solve for x
    x = 15,149,426.72/5,878.14
  6. Step 6: Final answer
    x = 2,577.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.