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Finding the Fourth Proportional to 5,306.88, 7,321.14 and 3,536.76

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Solution

The fourth proportional to 5,306.88, 7,321.14 and 3,536.76 is: 4,879.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.88 : 7,321.14 = 3,536.76 : x
  2. Step 2: Convert to fraction form
    5,306.88/7,321.14 = 3,536.76/x
  3. Step 3: Cross multiply
    5,306.88x = 7,321.14 × 3,536.76
  4. Step 4: Simplify right side
    5,306.88x = 25,893,115.11
  5. Step 5: Solve for x
    x = 25,893,115.11/5,306.88
  6. Step 6: Final answer
    x = 4,879.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.