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Finding the Fourth Proportional to 2,404.56, 3,586.20 and 2,355.84

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Solution

The fourth proportional to 2,404.56, 3,586.20 and 2,355.84 is: 3,513.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.56 : 3,586.20 = 2,355.84 : x
  2. Step 2: Convert to fraction form
    2,404.56/3,586.20 = 2,355.84/x
  3. Step 3: Cross multiply
    2,404.56x = 3,586.20 × 2,355.84
  4. Step 4: Simplify right side
    2,404.56x = 8,448,513.41
  5. Step 5: Solve for x
    x = 8,448,513.41/2,404.56
  6. Step 6: Final answer
    x = 3,513.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.