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Finding the Fourth Proportional to 3,567.71, 5,353.59 and 1,924.22

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Solution

The fourth proportional to 3,567.71, 5,353.59 and 1,924.22 is: 2,887.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,567.71 : 5,353.59 = 1,924.22 : x
  2. Step 2: Convert to fraction form
    3,567.71/5,353.59 = 1,924.22/x
  3. Step 3: Cross multiply
    3,567.71x = 5,353.59 × 1,924.22
  4. Step 4: Simplify right side
    3,567.71x = 10,301,484.95
  5. Step 5: Solve for x
    x = 10,301,484.95/3,567.71
  6. Step 6: Final answer
    x = 2,887.42

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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.