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Finding the Fourth Proportional to 5,586.64, 7,710.96 and 3,230.26

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Solution

The fourth proportional to 5,586.64, 7,710.96 and 3,230.26 is: 4,458.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,586.64 : 7,710.96 = 3,230.26 : x
  2. Step 2: Convert to fraction form
    5,586.64/7,710.96 = 3,230.26/x
  3. Step 3: Cross multiply
    5,586.64x = 7,710.96 × 3,230.26
  4. Step 4: Simplify right side
    5,586.64x = 24,908,405.65
  5. Step 5: Solve for x
    x = 24,908,405.65/5,586.64
  6. Step 6: Final answer
    x = 4,458.57

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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.