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Finding the Fourth Proportional to 5,215.80, 7,775.36 and 5,135.88

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Solution

The fourth proportional to 5,215.80, 7,775.36 and 5,135.88 is: 7,656.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215.80 : 7,775.36 = 5,135.88 : x
  2. Step 2: Convert to fraction form
    5,215.80/7,775.36 = 5,135.88/x
  3. Step 3: Cross multiply
    5,215.80x = 7,775.36 × 5,135.88
  4. Step 4: Simplify right side
    5,215.80x = 39,933,315.92
  5. Step 5: Solve for x
    x = 39,933,315.92/5,215.80
  6. Step 6: Final answer
    x = 7,656.22

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