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Finding the Fourth Proportional to 5,686.26, 8,536.80 and 4,993.70

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Solution

The fourth proportional to 5,686.26, 8,536.80 and 4,993.70 is: 7,497.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.26 : 8,536.80 = 4,993.70 : x
  2. Step 2: Convert to fraction form
    5,686.26/8,536.80 = 4,993.70/x
  3. Step 3: Cross multiply
    5,686.26x = 8,536.80 × 4,993.70
  4. Step 4: Simplify right side
    5,686.26x = 42,630,218.16
  5. Step 5: Solve for x
    x = 42,630,218.16/5,686.26
  6. Step 6: Final answer
    x = 7,497.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.