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Finding the Fourth Proportional to 3,525.64, 5,289.16 and 1,577.86

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Solution

The fourth proportional to 3,525.64, 5,289.16 and 1,577.86 is: 2,367.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,525.64 : 5,289.16 = 1,577.86 : x
  2. Step 2: Convert to fraction form
    3,525.64/5,289.16 = 1,577.86/x
  3. Step 3: Cross multiply
    3,525.64x = 5,289.16 × 1,577.86
  4. Step 4: Simplify right side
    3,525.64x = 8,345,554.00
  5. Step 5: Solve for x
    x = 8,345,554.00/3,525.64
  6. Step 6: Final answer
    x = 2,367.10

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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.