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Finding the Fourth Proportional to 5,644.68, 8,466.21 and 2,357.16

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Solution

The fourth proportional to 5,644.68, 8,466.21 and 2,357.16 is: 3,535.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.68 : 8,466.21 = 2,357.16 : x
  2. Step 2: Convert to fraction form
    5,644.68/8,466.21 = 2,357.16/x
  3. Step 3: Cross multiply
    5,644.68x = 8,466.21 × 2,357.16
  4. Step 4: Simplify right side
    5,644.68x = 19,956,211.56
  5. Step 5: Solve for x
    x = 19,956,211.56/5,644.68
  6. Step 6: Final answer
    x = 3,535.40

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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.