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Finding the Fourth Proportional to 3,525.71, 5,288.96 and 1,445.63

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Solution

The fourth proportional to 3,525.71, 5,288.96 and 1,445.63 is: 2,168.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,525.71 : 5,288.96 = 1,445.63 : x
  2. Step 2: Convert to fraction form
    3,525.71/5,288.96 = 1,445.63/x
  3. Step 3: Cross multiply
    3,525.71x = 5,288.96 × 1,445.63
  4. Step 4: Simplify right side
    3,525.71x = 7,645,856.41
  5. Step 5: Solve for x
    x = 7,645,856.41/3,525.71
  6. Step 6: Final answer
    x = 2,168.60

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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.