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Finding the Fourth Proportional to 5,536.53, 8,303.65 and 1,586.91

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Solution

The fourth proportional to 5,536.53, 8,303.65 and 1,586.91 is: 2,380.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,536.53 : 8,303.65 = 1,586.91 : x
  2. Step 2: Convert to fraction form
    5,536.53/8,303.65 = 1,586.91/x
  3. Step 3: Cross multiply
    5,536.53x = 8,303.65 × 1,586.91
  4. Step 4: Simplify right side
    5,536.53x = 13,177,145.23
  5. Step 5: Solve for x
    x = 13,177,145.23/5,536.53
  6. Step 6: Final answer
    x = 2,380.04

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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.