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Finding the Fourth Proportional to 3,567.12, 4,916.34 and 3,009.03

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Solution

The fourth proportional to 3,567.12, 4,916.34 and 3,009.03 is: 4,147.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,567.12 : 4,916.34 = 3,009.03 : x
  2. Step 2: Convert to fraction form
    3,567.12/4,916.34 = 3,009.03/x
  3. Step 3: Cross multiply
    3,567.12x = 4,916.34 × 3,009.03
  4. Step 4: Simplify right side
    3,567.12x = 14,793,414.55
  5. Step 5: Solve for x
    x = 14,793,414.55/3,567.12
  6. Step 6: Final answer
    x = 4,147.16

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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.