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Finding the Fourth Proportional to 4,166.55, 5,738.18 and 3,607.65

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Solution

The fourth proportional to 4,166.55, 5,738.18 and 3,607.65 is: 4,968.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.55 : 5,738.18 = 3,607.65 : x
  2. Step 2: Convert to fraction form
    4,166.55/5,738.18 = 3,607.65/x
  3. Step 3: Cross multiply
    4,166.55x = 5,738.18 × 3,607.65
  4. Step 4: Simplify right side
    4,166.55x = 20,701,327.04
  5. Step 5: Solve for x
    x = 20,701,327.04/4,166.55
  6. Step 6: Final answer
    x = 4,968.46

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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.