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Finding the Fourth Proportional to 4,583.76, 6,325.22 and 2,567.14

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Solution

The fourth proportional to 4,583.76, 6,325.22 and 2,567.14 is: 3,542.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,583.76 : 6,325.22 = 2,567.14 : x
  2. Step 2: Convert to fraction form
    4,583.76/6,325.22 = 2,567.14/x
  3. Step 3: Cross multiply
    4,583.76x = 6,325.22 × 2,567.14
  4. Step 4: Simplify right side
    4,583.76x = 16,237,725.27
  5. Step 5: Solve for x
    x = 16,237,725.27/4,583.76
  6. Step 6: Final answer
    x = 3,542.45

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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.