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Finding the Fourth Proportional to 3,567.84, 5,354.06 and 1,925.54

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Solution

The fourth proportional to 3,567.84, 5,354.06 and 1,925.54 is: 2,889.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,567.84 : 5,354.06 = 1,925.54 : x
  2. Step 2: Convert to fraction form
    3,567.84/5,354.06 = 1,925.54/x
  3. Step 3: Cross multiply
    3,567.84x = 5,354.06 × 1,925.54
  4. Step 4: Simplify right side
    3,567.84x = 10,309,420.29
  5. Step 5: Solve for x
    x = 10,309,420.29/3,567.84
  6. Step 6: Final answer
    x = 2,889.54

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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.