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Finding the Fourth Proportional to 3,605.86, 5,409.54 and 1,525.86

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Solution

The fourth proportional to 3,605.86, 5,409.54 and 1,525.86 is: 2,289.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.86 : 5,409.54 = 1,525.86 : x
  2. Step 2: Convert to fraction form
    3,605.86/5,409.54 = 1,525.86/x
  3. Step 3: Cross multiply
    3,605.86x = 5,409.54 × 1,525.86
  4. Step 4: Simplify right side
    3,605.86x = 8,254,200.70
  5. Step 5: Solve for x
    x = 8,254,200.70/3,605.86
  6. Step 6: Final answer
    x = 2,289.11

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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.