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Finding the Fourth Proportional to 4,586.53, 6,323.29 and 3,645.45

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Solution

The fourth proportional to 4,586.53, 6,323.29 and 3,645.45 is: 5,025.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,586.53 : 6,323.29 = 3,645.45 : x
  2. Step 2: Convert to fraction form
    4,586.53/6,323.29 = 3,645.45/x
  3. Step 3: Cross multiply
    4,586.53x = 6,323.29 × 3,645.45
  4. Step 4: Simplify right side
    4,586.53x = 23,051,237.53
  5. Step 5: Solve for x
    x = 23,051,237.53/4,586.53
  6. Step 6: Final answer
    x = 5,025.86

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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.