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Finding the Fourth Proportional to 5,877.05, 8,815.59 and 1,494.50

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Solution

The fourth proportional to 5,877.05, 8,815.59 and 1,494.50 is: 2,241.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877.05 : 8,815.59 = 1,494.50 : x
  2. Step 2: Convert to fraction form
    5,877.05/8,815.59 = 1,494.50/x
  3. Step 3: Cross multiply
    5,877.05x = 8,815.59 × 1,494.50
  4. Step 4: Simplify right side
    5,877.05x = 13,174,855.18
  5. Step 5: Solve for x
    x = 13,174,855.18/5,877.05
  6. Step 6: Final answer
    x = 2,241.75

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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.