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Finding the Fourth Proportional to 3,567.55, 5,353.56 and 2,567

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Solution

The fourth proportional to 3,567.55, 5,353.56 and 2,567 is: 3,852.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,567.55 : 5,353.56 = 2,567 : x
  2. Step 2: Convert to fraction form
    3,567.55/5,353.56 = 2,567/x
  3. Step 3: Cross multiply
    3,567.55x = 5,353.56 × 2,567
  4. Step 4: Simplify right side
    3,567.55x = 13,742,578.89
  5. Step 5: Solve for x
    x = 13,742,578.89/3,567.55
  6. Step 6: Final answer
    x = 3,852.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.