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Finding the Fourth Proportional to 3,567.95, 5,352.74 and 1,924.46

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Solution

The fourth proportional to 3,567.95, 5,352.74 and 1,924.46 is: 2,887.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,567.95 : 5,352.74 = 1,924.46 : x
  2. Step 2: Convert to fraction form
    3,567.95/5,352.74 = 1,924.46/x
  3. Step 3: Cross multiply
    3,567.95x = 5,352.74 × 1,924.46
  4. Step 4: Simplify right side
    3,567.95x = 10,301,111.02
  5. Step 5: Solve for x
    x = 10,301,111.02/3,567.95
  6. Step 6: Final answer
    x = 2,887.13

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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.