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Finding the Fourth Proportional to 5,884.90, 8,869.66 and 5,072.98

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Solution

The fourth proportional to 5,884.90, 8,869.66 and 5,072.98 is: 7,645.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,884.90 : 8,869.66 = 5,072.98 : x
  2. Step 2: Convert to fraction form
    5,884.90/8,869.66 = 5,072.98/x
  3. Step 3: Cross multiply
    5,884.90x = 8,869.66 × 5,072.98
  4. Step 4: Simplify right side
    5,884.90x = 44,995,607.79
  5. Step 5: Solve for x
    x = 44,995,607.79/5,884.90
  6. Step 6: Final answer
    x = 7,645.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.