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Finding the Fourth Proportional to 3,525.59, 5,284.64 and 1,549.53

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Solution

The fourth proportional to 3,525.59, 5,284.64 and 1,549.53 is: 2,322.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,525.59 : 5,284.64 = 1,549.53 : x
  2. Step 2: Convert to fraction form
    3,525.59/5,284.64 = 1,549.53/x
  3. Step 3: Cross multiply
    3,525.59x = 5,284.64 × 1,549.53
  4. Step 4: Simplify right side
    3,525.59x = 8,188,712.09
  5. Step 5: Solve for x
    x = 8,188,712.09/3,525.59
  6. Step 6: Final answer
    x = 2,322.65

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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.