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Finding the Fourth Proportional to 4,182.59, 5,772.14 and 2,503.67

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Solution

The fourth proportional to 4,182.59, 5,772.14 and 2,503.67 is: 3,455.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,182.59 : 5,772.14 = 2,503.67 : x
  2. Step 2: Convert to fraction form
    4,182.59/5,772.14 = 2,503.67/x
  3. Step 3: Cross multiply
    4,182.59x = 5,772.14 × 2,503.67
  4. Step 4: Simplify right side
    4,182.59x = 14,451,504.89
  5. Step 5: Solve for x
    x = 14,451,504.89/4,182.59
  6. Step 6: Final answer
    x = 3,455.16

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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.