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Finding the Fourth Proportional to 5,567.61, 8,310.77 and 5,156.49

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Solution

The fourth proportional to 5,567.61, 8,310.77 and 5,156.49 is: 7,697.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,567.61 : 8,310.77 = 5,156.49 : x
  2. Step 2: Convert to fraction form
    5,567.61/8,310.77 = 5,156.49/x
  3. Step 3: Cross multiply
    5,567.61x = 8,310.77 × 5,156.49
  4. Step 4: Simplify right side
    5,567.61x = 42,854,415.29
  5. Step 5: Solve for x
    x = 42,854,415.29/5,567.61
  6. Step 6: Final answer
    x = 7,697.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.