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Finding the Fourth Proportional to 3,630.76, 5,445.52 and 1,409.26

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Solution

The fourth proportional to 3,630.76, 5,445.52 and 1,409.26 is: 2,113.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,630.76 : 5,445.52 = 1,409.26 : x
  2. Step 2: Convert to fraction form
    3,630.76/5,445.52 = 1,409.26/x
  3. Step 3: Cross multiply
    3,630.76x = 5,445.52 × 1,409.26
  4. Step 4: Simplify right side
    3,630.76x = 7,674,153.52
  5. Step 5: Solve for x
    x = 7,674,153.52/3,630.76
  6. Step 6: Final answer
    x = 2,113.65

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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.