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Finding the Fourth Proportional to 3,525.68, 5,288.53 and 1,445.30

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Solution

The fourth proportional to 3,525.68, 5,288.53 and 1,445.30 is: 2,167.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,525.68 : 5,288.53 = 1,445.30 : x
  2. Step 2: Convert to fraction form
    3,525.68/5,288.53 = 1,445.30/x
  3. Step 3: Cross multiply
    3,525.68x = 5,288.53 × 1,445.30
  4. Step 4: Simplify right side
    3,525.68x = 7,643,482.35
  5. Step 5: Solve for x
    x = 7,643,482.35/3,525.68
  6. Step 6: Final answer
    x = 2,167.94

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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.